25:["$","title",null,{"children":"Satellite ground track visualizer | Javier Anderson's Workspace | Observable"}] 49:T561,md` A ferramenta disponível nesta página foi desenvolvida por Isolda Figueiredo Silva Costa e Matheus Boccaletti de Paula como parte do projeto do curso de Laboratório de Guiagem, Navegação e Controle da Universidade Federal do ABC, ministrado pela Prof. Drª Cláudia Celeste Celestino. Ela tem como base uma [ferramenta similar desenvolvida nesta mesma plataforma](https://observablehq.com/@jake-low/satellite-ground-track-visualizer) que contempla apenas órbitas circulares. Partindo da modelagem do problema de 2 corpos, é possível demonstrar que um corpo qualquer orbitando a Terra, sujeito apenas à força gravitacional do planeta, tende a seguir uma trajetória equivalente a uma seção cônica. Em particular, os objetos que circundam a Terra descrevem órbitas elípticas. A fim de permitir uma modelagem mais realista, o grupo modificou a ferramenta original para trabalhar com este tipo de órbita a partir da escolha dos elementos orbitais que caracterizam o formato da órbita. São eles: - excentricidade - altitude do apogeu [km] - ascensão reta do nodo ascendente [°] - inclinação [°] - argumento do perigeu [°] Fora isso, é possível ajustar a velocidade da simulação como um múltiplo da velocidade real. Ajuste os controles de cada parâmetro para observar o efeito no formato da trajetória e a consequente mudança no ground track. `4a:T47d,map = { let canvas = this; if (!canvas) { canvas = DOM.context2d(width, width/2).canvas; } let context = canvas.getContext("2d"); const path = d3.geoPath() .projection(projection) .context(context); context.drawImage(naturalEarth, 0, 0, width, width/2); let line = groundTrack.slice(); const lineWidth = 1.25 + (width / 1200); if (d3.geoDistance(line[0], line[line.length - 1]) < 0.05) { // special case: geosynchronous orbit context.strokeStyle = 'rgb(255, 0, 0)'; context.lineWidth = 2 * lineWidth; context.beginPath(); path(d3.geoCircle().center(line[0]).radius(0.05)()); context.stroke(); } else { let opacity = 1.0; let decay = opacity / line.length; context.lineWidth = lineWidth; while (line.length > 1) { let start = line[0], end = line[1]; context.strokeStyle = `rgba(255, 0, 0, ${opacity})`; let segment = { type: 'LineString', coordinates: [start, end], }; context.beginPath(), path(segment), context.stroke(); opacity -= decay; line.shift(); } } return canvas; }4b:T442,satellite = { let satellite = this; if (!satellite) { //satellite = new THREE.Mesh(); // satellite.geometry = new THREE.SphereGeometry(0.02, 16, 16); // satellite.material = new THREE.PointsMaterial({ size: 0.1, color: 0xff00ff }); const objLoader = new THREE.OBJLoader(); const mtlLoader = new THREE.MTLLoader(); const gistUrl = "https://gist.githubusercontent.com/jake-low/ae6f79de55ca9e4612957158a1637ab0/raw/439e9c2986d9ed5a7eba66921b6c1458bf75d455/"; objLoader.setPath(gistUrl); mtlLoader.setPath(gistUrl); mtlLoader.setResourcePath(gistUrl); const materials = await new Promise((resolve, reject) => mtlLoader.load("NPP.mtl", resolve, () => {}, reject) ); materials.preload(); objLoader.setMaterials(materials); satellite = await new Promise((resolve, reject) => objLoader.load("NPP.obj", resolve, () => {}, reject) ); satellite.scale.setScalar(0.02); satellite.rotation.x = -Math.PI / 2; } satellite.position.z = Rp; return satellite; }4c:T736,simulate = { let lastUpdated = performance.now(); while (true) { await Promises.tick(1000 / 60); const currentTime = performance.now(); const simulatedTimeDelta = (currentTime - lastUpdated) * timeScale / 1000; // simulate rotation of the Earth earth.rotation.y += earthAngularVelocity * simulatedTimeDelta; // animate sattelite // get true anomaly (f) in t const f = Math.atan2(satellite.position.x, satellite.position.z); let E = 0; // get excentric anomaly (E) in t if (Math.abs(f) == Math.PI) E = f; else E = 2*Math.atan(Math.sqrt((1-excentricity)/(1+excentricity))*Math.tan(f/2.)); // get mean anomaly (M) in t const M = E - excentricity * Math.sin(E); // get mean anomaly (M_) in t_ = t + dt const M_ = M + 2 * Math.PI / T * simulatedTimeDelta; // get excentric anomaly (E_) in t_ (given by Newton-Raphson method) let E_ = 0; if (M_ < Math.PI) E_ = M_ + excentricity/2.; else E_ = M_ - excentricity/2.; let ratio = 1.; //while (Math.abs(ratio) > 0.00000001) { for (let j = 0; j < 200; j++) { ratio = (E_ - excentricity*Math.sin(E_) - M_) / (1 - excentricity*Math.cos(E_)); ratio = parseFloat(ratio.toFixed(10)) E_ = E_ - ratio; } // get true anomaly (f_) in t_ let f_ = 0; if (Math.abs(E_) == Math.PI) f_ = E_; else f_ = 2*Math.atan(Math.sqrt((1+excentricity)/(1-excentricity))*Math.tan(E_/2)); // get radius in t_ const r = a*(1 - Math.pow(excentricity, 2))/(1 + excentricity*Math.cos(f_)); // set new position in t_ satellite.position.z = r*Math.cos(f_); satellite.position.x = r*Math.sin(f_); // set new rotation in t_ satellite.rotation.z = E_ - Math.PI / 2; lastUpdated = currentTime; yield; } }4d:Tb09,groundTrack = { const numPoints = Math.min(200, 2 * T/300), timeBetweenPoints = -300; while (true) { const profile = Math.random() > 0.99; if (profile) { console.time("groundTrack"); } const points = []; // get cartesian coordinates of satellite in orbital reference frame let currentPosition = satellite.position.clone(); // get true anomaly in t const f = Math.atan2(currentPosition.x, currentPosition.z); let E = 0; // get excentric anomaly (E) in t if (Math.abs(f) == Math.PI) E = f; else E = 2*Math.atan(Math.sqrt((1-excentricity)/(1+excentricity))*Math.tan(f/2.)); // get mean anomaly (M) in t const M = E - excentricity * Math.sin(E); for (let i = 0; i < numPoints; i++) { // get mean anomaly (M_) in t_ = t - dt * i const M_ = M + 2 * Math.PI / T * i * timeBetweenPoints; // get excentric anomaly (E_) in t_ (given by Newton-Raphson method) let E_ = 0; if (M_ < Math.PI) E_ = M_ + excentricity/2.; E_ = M_ - excentricity/2.; let ratio = 1.0; //while (Math.abs(ratio) > 0.00000001) { for (let j = 0; j < 200; j++) { ratio = (E_ - excentricity*Math.sin(E_) - M_) / (1 - excentricity*Math.cos(E_)); E_ = E_ - ratio; } // get true anomaly (f_) in t_ let f_ = 0; if (Math.abs(E_) == Math.PI) f_ = E_; else f_ = 2*Math.atan(Math.sqrt((1+excentricity)/(1-excentricity))*Math.tan(E_/2.)); // get radius in t_ let r = a*(1 - Math.pow(excentricity, 2.))/(1 + excentricity*Math.cos(f_)); // get new position in perifocal frame let newPosition = new THREE.Vector3(r * Math.sin(f_), 0, r * Math.cos(f_)); // rotate r newPosition.applyMatrix4(rotationMatrix); let newEarthFramePosition = earth.worldToLocal(newPosition); // correct for the amout of time Earth has/will have rotated during timeOffset newEarthFramePosition.applyAxisAngle( new THREE.Vector3(0, 1, 0), -earthAngularVelocity * i * timeBetweenPoints); // convert back to spherical one more time so we can get theta and phi let sphericalNewEarthFramePosition = new THREE.Spherical(); sphericalNewEarthFramePosition.setFromVector3(newEarthFramePosition); sphericalNewEarthFramePosition.makeSafe(); // convert to degrees let theta = sphericalNewEarthFramePosition.theta * 180 / Math.PI, phi = sphericalNewEarthFramePosition.phi * 180 / Math.PI; // convert theta and phi to longitude and latitude let longitude = (theta - 90), latitude = (90 - phi); points.push([longitude, latitude]); } if (profile) { console.timeEnd("groundTrack"); } yield points; } }4e:[] 29:{"id":"cb13319194de6cd6","slug":null,"title":"Satellite ground track visualizer","thumbnail":"0193e700dd164c6988d8b98d3e40404a95645ed84484a6c1a762fba09411cb84","access_level":"public","create_time":"$D2023-11-11T21:35:10.562Z","update_time":"$D2023-11-11T21:47:43.498Z","view_time":null,"first_public_time":"$D2023-11-11T21:35:10.562Z","has_unpublished_edits":null,"fork":{"id":"01851b80bb12888f","slug":"satellite-ground-track-visualizer","title":"Satellite ground track visualizer","owner":{"id":"21d624d2c73bf125","login":"mboccaletti","name":"Matheus Boccaletti de Paula"}},"stars":0,"starred":false,"owner":{"type":"team","id":"e4186f0d24dbf3d1","login":"javier-anderson-ws","name":"Javier Anderson's 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Workspace","avatar_url":"https://avatars-next.observableusercontent.com/a4b46cc8e3fd508f649e6429c964af4b7ffad116c655b86d76db87af649c380b","tier":"starter_2024","role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"titling":"auto","title":"Satellite ground track visualizer","cells":[{"id":0,"value":"md`# Satellite ground track visualizer`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1826,"value":"$49","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":213,"value":"viewof timeScale = slider({\n min: 1,\n max: 1000,\n value: 500,\n step: 1,\n format: value => `${value}x`,\n description: \"Velocidade da simulação como múltiplo do tempo real\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1911,"value":"viewof excentricity = slider({\n min: 0.0,\n max: 0.99,\n value: 0.3,\n step: 0.001,\n format: value => `${value}`,\n description: \"Excentricidade da órbita\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1918,"value":"viewof altitudeOfPerigee = slider({\n min: 200 * 1000,\n max: 40000 * 1000,\n value: 480 * 1000,\n step: 1000,\n format: value => `${Math.round(value / 1000)} km`,\n description: \"Altitude do perigeu\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1924,"value":"viewof RAAN = slider({\n min: 0,\n max: 360,\n value: 65,\n format: value => `${value}°`,\n description: \"Ascensão reta do nodo ascendente\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":41,"value":"viewof inclination = slider({\n min: 0,\n max: 180,\n value: 46,\n format: value => `${value}°`,\n description: \"Inclinação\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1933,"value":"viewof AOP = slider({\n min: 0,\n max: 360,\n value: 270,\n format: value => `${value}°`,\n description: \"Argumento do perigeu\"\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"globe = { \n while (true) {\n renderer.render(scene, camera);\n yield renderer.domElement;\n }\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":54,"value":"$4a","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1484,"value":"md`---`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1481,"value":"md`### Three.js scene`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":48,"value":"scene = {\n let scene = this;\n \n if (!scene) {\n scene = new THREE.Scene();\n scene.background = new THREE.Color('#f5f5f5');\n const axesHelper = new THREE.AxesHelper(1.5);\n scene.add(axesHelper, earth, orbit, light);\n }\n\n return scene;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":895,"value":"renderer = {\n const renderer = new THREE.WebGLRenderer({antialias: true})\n \n renderer.setSize(width, width / 2);\n renderer.setPixelRatio(devicePixelRatio);\n \n invalidation.then(() => renderer.dispose());\n \n return renderer;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":897,"value":"controls = {\n const controls = new THREE.OrbitControls(camera, renderer.domElement);\n controls.minDistance = 3;\n controls.maxDistance = 20;\n \n const redraw = () => renderer.render(scene, camera);\n \n controls.addEventListener(\"change\", redraw);\n \n invalidation.then(() => {\n controls.removeEventListener(\"change\", redraw);\n controls.dispose();\n });\n \n return controls;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":63,"value":"camera = {\n const camera = new THREE.PerspectiveCamera(30, 2, 0.1, 60);\n camera.position.set(5, 1, 2);\n return camera;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":408,"value":"//light = new THREE.AmbientLight('#fff')\nlight = {\n const light = new THREE.Group();\n \n const ambient = new THREE.AmbientLight(\"#888\")\n const directional = new THREE.DirectionalLight(\"#aaa\")\n directional.position.x = 10;\n \n light.add(ambient, directional)\n return light;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":199,"value":"earth = {\n let earth = this;\n \n if (!earth) {\n earth = new THREE.Mesh();\n earth.geometry = new THREE.SphereBufferGeometry(1, 40, 40);\n earth.rotation.y = Math.PI;\n }\n \n return earth;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":194,"value":"orbit = {\n let orbit = this;\n \n if (!orbit) {\n orbit = new THREE.Group(); \n orbit.add(track,satellite);\n }\n\n orbit.setRotationFromMatrix(rotationMatrix)\n\n return orbit;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1312,"value":"track = {\n let track = this; \n\n if (!track) {\n track = new THREE.Line();\n\n track.geometry = new THREE.CircleGeometry(1, 250);\n track.geometry.vertices.shift();\n track.geometry.vertices.push(track.geometry.vertices[0]);\n track.geometry.rotateX(Math.PI / 2); // rotate geometry so default is equatorial orbit\n\n track.material = new THREE.LineBasicMaterial({ color: 0x0000ff });\n }\n \n track.position.z = -c;\n track.scale.set(b, 1.0, a);\n\n return track;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":205,"value":"$4b","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":240,"value":"texture = {\n let texture = this;\n \n if (!texture) {\n texture = new THREE.CanvasTexture(map);\n earth.material = new THREE.MeshLambertMaterial({ map: texture });\n } else {\n texture.needsUpdate = true;\n }\n \n return texture;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1564,"value":"md`---`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":2028,"value":"md `### Matriz de rotação`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1988,"value":"rotationMatrix = {\n let rotationMatrix = new THREE.Matrix4();\n const R1 = new THREE.Matrix4();\n const R2 = new THREE.Matrix4();\n const R3 = new THREE.Matrix4();\n\n R1.makeRotationY(RAAN * Math.PI / 180)\n R2.makeRotationZ(inclination * Math.PI / 180)\n R3.makeRotationY(AOP * Math.PI / 180)\n\n rotationMatrix.multiplyMatrices(R1, R2).multiply(R3)\n \n return rotationMatrix;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1566,"value":"md`### Parâmetros para a simulação física`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":26,"value":"earthMU = 3.986e5 // km^3 / s^2","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":33,"value":"earthRadius = 6371 * 1000 // m","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1959,"value":"earthPolarRadius = 6356 * 1000 // m","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":36,"value":"earthAngularVelocity = (2 * Math.PI) / (23.934461223 /* sidereal day */ * 60 * 60) // radians per second","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":43,"value":"Rp = (earthRadius + altitudeOfPerigee) / earthRadius","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":44,"value":"a = Rp / (1-excentricity)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1970,"value":"c = a * excentricity","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":917,"value":"b = Math.pow(Math.pow(a,2)-Math.pow(c,2),1.0/2.0)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1976,"value":"T = Math.sqrt(Math.pow(a * earthRadius / 1000,3)*4*Math.pow(Math.PI,2)/earthMU)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":765,"value":"$4c","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1604,"value":"md`---`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1862,"value":"md`### Mapa e projeção`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1752,"value":"naturalEarth = d3.image(\n \"https://gist.githubusercontent.com/jake-low/d519e00853b15e9cec391c3dab58e77f/raw/6e796038e4f34524059997f8e1f1c42ea289d805/ne1-small.png\",\n {crossOrigin: \"anonymous\"})\n// {\n// const image = new Image;\n// image.crossOrigin = \"anonymous\";\n// image.src = \"https://gist.githubusercontent.com/jake-low/d519e00853b15e9cec391c3dab58e77f/raw/6e796038e4f34524059997f8e1f1c42ea289d805/ne1-small.png\";\n// image.onload = () => resolve(image);\n// image.onerror = reject;\n// });","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1758,"value":"projection = d3.geoEquirectangular()\n .fitSize([width, width/2], { type: 'Sphere' })\n .precision(0.1)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1606,"value":"md`### Cálculo do ground track`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1338,"value":"$4d","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1594,"value":"md`---`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1596,"value":"md`### Miscelânia`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1601,"value":"md`\nDependências: d3.js, Three.js e [@jashkenas/inputs](/@jashkenas/inputs)\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":14,"value":"THREE = {\n const THREE = window.THREE = await require(\"three@0.97/build/three.min.js\");\n await require(\"three@0.97/examples/js/controls/OrbitControls.js\").catch(() => {});\n await require(\"three@0.97/examples/js/loaders/OBJLoader.js\").catch(() => {});\n await require(\"three@0.97/examples/js/loaders/MTLLoader.js\").catch(() => {});\n return THREE;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":16,"value":"d3 = require(\"d3@5\")","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1880,"value":"import { slider } from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":1794,"value":"stylesheet = html`\n(configura os sliders para visualização mobile)\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":2009,"value":"md`### Créditos\n\n- Mapa da Terra: [Natural Earth](https://www.naturalearthdata.com)\n- Modelo do satélite Suomi NPP ([NASA 3D Resources](https://github.com/nasa/NASA-3D-Resources))\n- Construído com [d3.js](https://d3js.org/) e [three.js](https://threejs.org/)\n- Baseado na ferramenta disponível também no [Observable HQ](https://observablehq.com/@jake-low/satellite-ground-track-visualizer) \n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W4e","stdlib":"1"}} 24:null