v3: Historical sky !35

merged merged by cmc on 2026-10-18 21:44 UTC · krz/moonrise:v3-historical-sky into main

9 files changed, +185 −10

Layout: unified · split

App/Sources/SkyModel.swift +33 −2
@@ -1,6 +1,7 @@
1import CoreLocation 1import CoreLocation
2import Feeds 2import Feeds
3import Foundation 3import Foundation
4import Library
4import Observation 5import Observation
5import SkyEngine 6import SkyEngine
6import SkyRenderer 7import SkyRenderer
@@ -57,7 +58,37 @@ final class SkyModel: NSObject, CLLocationManagerDelegate {
57 private var weatherFetched: Date? 58 private var weatherFetched: Date?
58 /// Hours from now shown by the time scrubber. 59 /// Hours from now shown by the time scrubber.
59 var offsetHours = 0.0 { didSet { refresh() } } 60 var offsetHours = 0.0 { didSet { refresh() } }
60 var displayedDate: Date { .now.addingTimeInterval(offsetHours * 3600) } 61 /// Year shown instead of this one (astronomical numbering: 0 is 1 BCE), or nil for now.
62 var historicalYear: Int? { didSet { refresh(); poleStar = historicalYear.flatMap { _ in SkyModel.poleStar(at: displayedDate, south: observer.latitude < 0) } } }
63 /// Brightest-nearest star to the visible celestial pole in the historical year, and its distance from the pole.
64 private(set) var poleStar: (name: String, degrees: Double)?
65 var displayedDate: Date {
66 let d = Date.now.addingTimeInterval(offsetHours * 3600)
67 guard let y = historicalYear else { return d }
68 return SkyModel.date(d, inYear: y)
69 }
70
71 /// The same month, day and time in year `y` (Julian calendar before 1582, as Foundation's Gregorian calendar does).
72 static func date(_ d: Date, inYear y: Int) -> Date {
73 let calendar = Calendar(identifier: .gregorian)
74 var c = calendar.dateComponents([.month, .day, .hour, .minute, .second], from: d)
75 c.era = y > 0 ? 1 : 0
76 c.year = y > 0 ? y : 1 - y
77 return calendar.date(from: c) ?? d
78 }
79
80 /// The star brighter than magnitude 3.7 (so Thuban, 3.65, counts) closest to the north (or south) celestial pole at `date`.
81 static func poleStar(at date: Date, south: Bool) -> (name: String, degrees: Double)? {
82 let best = Catalog.stars.filter { $0.magnitude < 3.7 }.map { star -> (Star, Double) in
83 let dec = SkyEngine.equatorOfDate(j2000: star.position(at: date), at: date).dec
84 return (star, south ? 90 + dec : 90 - dec)
85 }.min { $0.1 < $1.1 }
86 guard let (star, d) = best else { return nil }
87 return (Library.page(hr: star.hr)?.title ?? formerPoleStars[star.hr] ?? "HR \(star.hr)", d)
88 }
89
90 /// Stars near the north celestial pole between 3000 BCE and 3000 CE that have no Library page.
91 static let formerPoleStars = [5291: "Thuban", 5563: "Kochab", 5735: "Pherkad", 8974: "Errai", 8162: "Alderamin"]
61 92
62 let astronomer = Astronomer() 93 let astronomer = Astronomer()
63 private let manager = CLLocationManager() 94 private let manager = CLLocationManager()
@@ -105,7 +136,7 @@ final class SkyModel: NSObject, CLLocationManagerDelegate {
105 scene = try? await astronomer.scene(at: date, from: observer) 136 scene = try? await astronomer.scene(at: date, from: observer)
106 lastBuild = clock.now - start 137 lastBuild = clock.now - start
107 if let scene { self.scene = scene } 138 if let scene { self.scene = scene }
108 if offsetHours == 0 { tonight = try? await astronomer.tonight(at: date, from: observer) } 139 if offsetHours == 0, historicalYear == nil { tonight = try? await astronomer.tonight(at: date, from: observer) }
109 sunAltitude = (try? SkyEngine.horizontal(.sun, at: date, from: observer, refraction: true).altitude) ?? 0 140 sunAltitude = (try? SkyEngine.horizontal(.sun, at: date, from: observer, refraction: true).altitude) ?? 0
110 building = false 141 building = false
111 if pending { pending = false; refresh() } 142 if pending { pending = false; refresh() }
App/Sources/SkyScreen.swift +23 −3
@@ -18,6 +18,7 @@ struct SkyScreen: View {
18 @AppStorage(SettingsKey.onboarded) private var onboarded = false 18 @AppStorage(SettingsKey.onboarded) private var onboarded = false
19 @AppStorage(SettingsKey.nightActive) private var nightActive = false 19 @AppStorage(SettingsKey.nightActive) private var nightActive = false
20 @State private var showToday = false 20 @State private var showToday = false
21 @State private var showYear = false
21 @Environment(\.scenePhase) private var scenePhase 22 @Environment(\.scenePhase) private var scenePhase
22 @State private var libraryPage: LibraryPage? 23 @State private var libraryPage: LibraryPage?
23 @State private var selection: SkyObject? 24 @State private var selection: SkyObject?
@@ -56,7 +57,9 @@ struct SkyScreen: View {
56 header 57 header
57 if let selection { card(for: selection).padding(.horizontal, 16).padding(.top, 8) } 58 if let selection { card(for: selection).padding(.horizontal, 16).padding(.top, 8) }
58 Spacer() 59 Spacer()
59 TodayBar(model: model, ink: ink, background: style.ground) { showToday = true } 60 if model.historicalYear == nil {
61 TodayBar(model: model, ink: ink, background: style.ground) { showToday = true }
62 }
60 } 63 }
61 } 64 }
62 } 65 }
@@ -73,6 +76,9 @@ struct SkyScreen: View {
73 .preferredColorScheme(.dark) 76 .preferredColorScheme(.dark)
74 .tint(.blue) 77 .tint(.blue)
75 } 78 }
79 .sheet(isPresented: $showYear) {
80 YearSheet(year: $model.historicalYear).preferredColorScheme(.dark).tint(.blue)
81 }
76 .sheet(isPresented: $showSettings, onDismiss: rescheduleSummary) { 82 .sheet(isPresented: $showSettings, onDismiss: rescheduleSummary) {
77 SettingsScreen { model.applyLocationSettings() } 83 SettingsScreen { model.applyLocationSettings() }
78 .preferredColorScheme(.dark) 84 .preferredColorScheme(.dark)
@@ -147,8 +153,16 @@ struct SkyScreen: View {
147 private var header: some View { 153 private var header: some View {
148 HStack(alignment: .top) { 154 HStack(alignment: .top) {
149 VStack(alignment: .leading, spacing: 4) { 155 VStack(alignment: .leading, spacing: 4) {
150 Text(model.offsetHours == 0 ? "Tonight" : "Sky at \(model.displayedDate.formatted(date: .omitted, time: .shortened))") 156 if let y = model.historicalYear {
151 .font(.title2.weight(.medium)) 157 Text("Sky in \(YearSheet.label(y))").font(.title2.weight(.medium))
158 if let p = model.poleStar {
159 Text(String(format: "Pole star: %@, %.1f° from the pole", p.name, p.degrees)).font(.caption2).dimmed(0.8)
160 }
161 Button("Back to today") { model.historicalYear = nil }.font(.caption.weight(.medium))
162 } else {
163 Text(model.offsetHours == 0 ? "Tonight" : "Sky at \(model.displayedDate.formatted(date: .omitted, time: .shortened))")
164 .font(.title2.weight(.medium))
165 }
152 Text(model.placeName) 166 Text(model.placeName)
153 .font(.caption2).dimmed(0.7) 167 .font(.caption2).dimmed(0.7)
154 #if DEBUG 168 #if DEBUG
@@ -169,6 +183,12 @@ struct SkyScreen: View {
169 } 183 }
170 .accessibilityLabel(pointer.active ? "Stop following the phone" : "Point the phone at the sky") 184 .accessibilityLabel(pointer.active ? "Stop following the phone" : "Point the phone at the sky")
171 } 185 }
186 Button { showYear = true } label: {
187 Image(systemName: "hourglass")
188 .font(.body)
189 .frame(width: 44, height: 44)
190 }
191 .accessibilityLabel("Sky in another year")
172 Button { showLog = true } label: { 192 Button { showLog = true } label: {
173 Image(systemName: "book.closed") 193 Image(systemName: "book.closed")
174 .font(.body) 194 .font(.body)
App/Sources/YearSheet.swift added +59
@@ -0,0 +1,59 @@
1import SwiftUI
2
3/// Picks a year for the historical sky, from 3000 BCE to 3000 CE.
4struct YearSheet: View {
5 @Binding var year: Int?
6 @State private var draft: Int
7 @Environment(\.dismiss) private var dismiss
8
9 static let range = -2999...3000
10
11 private let moments: [(String, Int)] = [
12 ("Great Pyramid built, Thuban at the pole", -2559),
13 ("Ptolemy's Almagest", 150),
14 ("Supernova that made the Crab Nebula", 1054),
15 ("Galileo's telescope", 1610),
16 ("Apollo 11", 1969),
17 ("Polaris closest to the pole", 2100),
18 ]
19
20 init(year: Binding<Int?>) {
21 _year = year
22 _draft = State(initialValue: year.wrappedValue ?? Calendar.current.component(.year, from: .now))
23 }
24
25 static func label(_ y: Int) -> String { y > 0 ? "\(y) CE" : "\(1 - y) BCE" }
26
27 var body: some View {
28 NavigationStack {
29 Form {
30 Section {
31 Stepper(value: $draft, in: Self.range, step: 100) {
32 Text(Self.label(draft)).font(.title2.monospacedDigit())
33 }
34 Stepper("Year by year", value: $draft, in: Self.range)
35 } footer: {
36 Text("Shows the sky for this date and time in another year, with precession and the stars' own motion. Dates before 1582 are in the Julian calendar. Planet positions are approximate far from today.")
37 }
38 Section("Moments") {
39 ForEach(moments, id: \.1) { m in
40 Button { draft = m.1 } label: {
41 LabeledContent(m.0, value: Self.label(m.1))
42 }
43 }
44 }
45 }
46 .navigationTitle("Sky in another year")
47 .navigationBarTitleDisplayMode(.inline)
48 .toolbar {
49 ToolbarItem(placement: .cancellationAction) { Button("Cancel") { dismiss() } }
50 ToolbarItem(placement: .confirmationAction) {
51 Button("Show") {
52 year = draft == Calendar.current.component(.year, from: .now) ? nil : draft
53 dismiss()
54 }
55 }
56 }
57 }
58 }
59}
PLAN.org +2 −1
@@ -409,7 +409,8 @@ Sky, System, Sun, Launches, Library core (above).
409** v3: across time and cultures 409** v3: across time and cultures
410- Sky cultures: Chinese, Polynesian, Arabic, Norse and other 410- Sky cultures: Chinese, Polynesian, Arabic, Norse and other
411 constellations over the same stars. 411 constellations over the same stars.
412- Historical sky for any date and place, with precession. 412- Historical sky for any date and place, with precession. Done: 3000 BCE
413 to 3000 CE, with BSC5 proper motions and the pole star of the year.
413- 3D planets from USGS maps; immersive sky and orrery on Vision Pro. 414- 3D planets from USGS maps; immersive sky and orrery on Vision Pro.
414- Guided seasonal sky tours and mission stories. 415- Guided seasonal sky tours and mission stories.
415- Live coverage of major events (e.g. an Artemis landing) on the orrery 416- Live coverage of major events (e.g. an Artemis landing) on the orrery
Packages/MoonriseKit/Sources/Library/Library.swift +4
@@ -131,6 +131,10 @@ public enum Library {
131 pages.first { $0.link.spacecraft == spacecraft } 131 pages.first { $0.link.spacecraft == spacecraft }
132 } 132 }
133 133
134 public static func page(hr: Int) -> LibraryPage? {
135 pages.first { $0.link.hr == hr }
136 }
137
134 /// Case- and diacritic-insensitive match on title and subtitle first, then facts and essay. 138 /// Case- and diacritic-insensitive match on title and subtitle first, then facts and essay.
135 public static func search(_ query: String) -> [LibraryPage] { 139 public static func search(_ query: String) -> [LibraryPage] {
136 let q = query.trimmingCharacters(in: .whitespaces) 140 let q = query.trimmingCharacters(in: .whitespaces)
Packages/MoonriseKit/Sources/SkyEngine/SkyEngine.swift +16
@@ -104,6 +104,22 @@ public enum SkyEngine {
104 104
105 /// Horizontal positions for many fixed objects at once, from J2000 RA and declination in degrees. 105 /// Horizontal positions for many fixed objects at once, from J2000 RA and declination in degrees.
106 /// Applies precession and nutation; no aberration or refraction. 106 /// Applies precession and nutation; no aberration or refraction.
107 /// 2000-01-01 12:00 TT.
108 public static let j2000 = Date(timeIntervalSince1970: 946_727_935.816)
109
110 /// Right ascension and declination on the equator and equinox of `date` (precession and nutation applied), degrees.
111 public static func equatorOfDate(j2000 c: (ra: Double, dec: Double), at date: Date) -> (ra: Double, dec: Double) {
112 lock.lock()
113 defer { lock.unlock() }
114 var t = time(date)
115 let rotation = Astronomy_Rotation_EQJ_EQD(&t)
116 let ra = c.ra * .pi / 180, dec = c.dec * .pi / 180
117 let v = Astronomy_RotateVector(rotation, astro_vector_t(status: ASTRO_SUCCESS, x: cos(dec) * cos(ra), y: cos(dec) * sin(ra), z: sin(dec), t: t))
118 var r = atan2(v.y, v.x) * 180 / .pi
119 if r < 0 { r += 360 }
120 return (r, asin(v.z) * 180 / .pi)
121 }
122
107 public static func horizontal(j2000 coordinates: [(ra: Double, dec: Double)], at date: Date, from observer: Observer) -> [Horizontal] { 123 public static func horizontal(j2000 coordinates: [(ra: Double, dec: Double)], at date: Date, from observer: Observer) -> [Horizontal] {
108 lock.lock() 124 lock.lock()
109 defer { lock.unlock() } 125 defer { lock.unlock() }
Packages/MoonriseKit/Sources/SkyRenderer/Resources/bsc5.json +1 −1
@@ -1 +1 @@
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No newline at end of file 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6,357.23167,-28.13028,4.57,0.01,0.105,-0.106],[9017,357.1625,64.87639,6.41,0.06,0.013,-0.02],[9018,357.20917,62.21444,5.43,0.67,-0.005,-0.001],[9019,357.22458,59.97889,6.34,-0.01,0.048,0.007],[9020,357.3,58.96306,6.33,0.4,0.038,-0.014],[9021,357.38167,-15.86111,6.24,1.22,0.049,-0.022],[9022,357.36458,1.07611,5.77,0.16,-0.002,-0.03],[9023,357.43625,-62.83944,6.59,1.48,0.031,-0.035],[9024,357.42083,36.42528,5.9,0.79,0.001,-0.048],[9025,357.41417,28.8425,5.97,0.19,0.061,0.024],[9026,357.45667,-25.33139,6.42,0.12,-0.021,-0.024],[9027,357.56125,-9.97417,5.94,1.13,0.14,0.076],[9028,357.59292,51.62167,6.44,0.37,0.123,-0.015],[9029,357.63875,-14.40194,5.72,1.51,0.037,-0.033],[9030,357.83833,9.31333,5.79,1.66,-0.016,-0.063],[9031,357.83875,-18.90889,5.18,-0.14,0.021,0.0],[9032,358.02667,-82.01889,5.11,0.92,-0.055,-0.019],[9033,357.99125,2.93028,5.55,1.53,0.02,-0.015],[9034,357.99,77.59944,6.55,0.44,0.264,-0.092],[9035,358.0975,21.67083,6.11,1.59,-0.049,-0.015],[9036,358.12208,19.12028,5.08,1.6,-0.005,-0.036],[9037,358.125,-14.25111,5.87,1.28,-0.101,0.0],[9038,358.10458,75.54472,6.39,0.98,0.314,0.049],[9039,358.15458,10.9475,5.3,0.18,-0.029,0.001],[9040,358.21042,-8.99667,5.75,1.17,0.064,-0.021],[9041,358.23167,-3.15556,5.93,1.07,0.075,-0.046],[9042,358.27,2.09056,6.28,-0.01,0.022,-0.012],[9043,358.33667,-24.22917,6.24,0.19,0.047,-0.011],[9044,358.58917,-27.04222,6.35,0.2,0.02,0.025],[9045,358.59583,57.49944,4.54,1.22,-0.002,-0.002],[9046,358.66083,-40.3,6.03,0.57,0.368,0.028],[9047,358.69417,0.10917,5.61,1.59,-0.04,-0.018],[9048,358.7825,7.07111,6.21,-0.07,0.021,-0.019],[9049,358.81917,-31.92167,6.1,-0.08,0.022,-0.003],[9050,358.81917,-31.88417,6.83,-0.08,0.003,0.008],[9051,358.84583,25.955,6.54,0.6,-0.003,-0.008],[9052,358.89042,57.41222,6.0,0.21,-0.008,-0.003],[9053,358.89,47.35583,6.0,1.16,0.0,-0.005],[9054,359.12458,-24.73722,6.31,0.92,0.003,0.01],[9055,359.17292,22.64806,6.15,1.6,-0.022,-0.005],[9056,359.11542,83.19111,6.59,0.05,0.047,0.007],[9057,359.265,42.65833,5.97,0.69,0.008,-0.001],[9058,359.28458,-26.62361,6.26,1.45,0.071,0.017],[9059,359.28542,55.70583,5.55,0.49,-0.019,-0.011],[9060,359.33292,-62.95639,5.97,0.11,0.082,0.018],[9061,359.38625,-82.17,5.73,1.05,-0.035,-0.026],[9062,359.39667,-64.29833,5.0,0.06,0.086,-0.068],[9063,359.38958,60.02361,6.47,0.01,0.012,-0.002],[9064,359.43958,25.14139,4.66,1.59,-0.034,-0.033],[9065,359.58833,-15.8475,6.26,1.08,0.086,-0.006],[9066,359.60333,51.38861,4.8,1.83,0.08,0.009],[9067,359.66833,-3.55611,4.86,0.93,-0.051,-0.072],[9068,359.705,32.38167,6.52,-0.11,0.003,-0.007],[9069,359.7325,-52.74583,5.13,1.13,0.055,0.061],[9070,359.69375,46.41306,6.54,-0.09,0.022,-0.005],[9071,359.75208,55.755,4.88,-0.07,0.009,-0.004],[9072,359.82792,6.86333,4.01,0.42,0.153,-0.115],[9073,359.86625,-29.485,5.62,1.6,-0.001,-0.001],[9074,359.87167,33.72444,6.58,0.55,-0.06,-0.08],[9075,359.87167,33.72444,6.58,0.6,-0.06,-0.08],[9076,359.97917,-65.57722,4.5,-0.08,0.048,-0.024],[9077,0.08,-44.29056,6.29,0.76,0.08,-0.111],[9078,0.09958,26.91833,6.46,0.5,0.044,-0.052],[9079,0.12875,59.55972,6.19,1.01,-0.077,-0.024],[9080,0.18208,45.25333,6.38,-0.07,0.027,0.005],[9081,0.26875,-48.81,5.71,0.91,-0.022,-0.009],[9082,0.33333,-50.33722,5.53,1.6,0.002,0.013],[9083,0.33042,49.98167,6.22,0.97,0.018,-0.006],[9084,0.39875,-77.06583,4.78,1.27,-0.063,-0.177],[9085,0.40375,61.22306,5.55,0.41,-0.006,0.005],[9086,0.4325,42.36722,6.25,-0.03,0.005,-0.003],[9087,0.45583,-3.0275,5.1,-0.12,0.016,-0.009],[9088,0.5425,27.08194,5.75,0.67,0.841,-0.991],[9089,0.49,-6.01417,4.41,1.63,0.051,-0.041],[9090,0.53042,-14.67611,7.1,1.8,-0.01,-0.019],[9091,0.58292,-29.72028,5.01,-0.15,0.019,0.016],[9092,0.60083,8.95694,6.32,0.18,0.005,-0.003],[9093,0.62375,8.48556,5.63,0.29,-0.092,-0.047],[9094,0.65042,66.09889,5.86,1.09,0.01,-0.001],[9095,0.74,-20.04611,6.25,0.53,0.11,0.071],[9096,0.78208,-24.14528,6.44,1.18,0.039,0.0],[9097,0.85708,63.64194,6.24,0.33,-0.008,0.057],[9098,0.935,-17.33611,4.55,-0.05,0.026,-0.009],[9099,0.96625,66.71222,6.29,1.67,0.021,-0.008],[9100,1.05667,62.28778,5.88,0.3,-0.004,0.006],[9101,1.08208,-16.52889,5.78,1.1,0.039,-0.059],[9102,1.08458,-29.26861,6.4,0.0,0.03,0.014],[9103,1.12542,-10.50944,4.94,1.63,-0.005,-0.011],[9104,1.175,67.16667,5.67,1.07,0.092,0.03],[9105,1.15292,42.09222,6.01,0.6,0.005,-0.022],[9106,1.12792,-72.89778,7.31,0.44,0.01,-0.054],[9107,1.22417,34.65972,6.12,0.62,0.772,0.089],[9108,1.17208,-71.43694,5.59,-0.12,0.028,-0.014],[9109,1.23333,26.64889,6.25,1.4,0.11,-0.012],[9110,1.27583,61.31417,5.8,-0.09,0.015,0.005]]\ No newline at end of file
Packages/MoonriseKit/Sources/SkyRenderer/SkyScene.swift +15 −3
@@ -7,6 +7,17 @@ public struct Star: Sendable {
7 public var dec: Double 7 public var dec: Double
8 public var magnitude: Double 8 public var magnitude: Double
9 public var colorIndex: Double 9 public var colorIndex: Double
10 /// Proper motion in arcseconds per year; `pmRA` already includes cos(dec).
11 public var pmRA: Double = 0
12 public var pmDec: Double = 0
13
14 /// J2000 coordinates moved by proper motion to `date` (linear, which is close enough over a few thousand years).
15 public func position(at date: Date) -> (ra: Double, dec: Double) {
16 let years = date.timeIntervalSince(SkyEngine.j2000) / (365.25 * 86_400)
17 let dec = self.dec + pmDec * years / 3600
18 let ra = self.ra + pmRA * years / 3600 / max(cos(self.dec * .pi / 180), 1e-6)
19 return (ra, dec)
20 }
10} 21}
11 22
12public struct Constellation: Sendable, Decodable { 23public struct Constellation: Sendable, Decodable {
@@ -16,11 +27,12 @@ public struct Constellation: Sendable, Decodable {
16} 27}
17 28
18public enum Catalog { 29public enum Catalog {
19 /// Yale Bright Star Catalogue, 5th ed. (VizieR V/50): HR, RA and Dec (J2000, degrees), V, B−V. 30 /// Yale Bright Star Catalogue, 5th ed. (VizieR V/50): HR, RA and Dec (J2000, degrees), V, B−V,
31 /// proper motion in RA (× cos dec) and Dec (arcsec/yr).
20 public static let stars: [Star] = { 32 public static let stars: [Star] = {
21 let url = Bundle.module.url(forResource: "bsc5", withExtension: "json")! 33 let url = Bundle.module.url(forResource: "bsc5", withExtension: "json")!
22 let rows = try! JSONDecoder().decode([[Double]].self, from: Data(contentsOf: url)) 34 let rows = try! JSONDecoder().decode([[Double]].self, from: Data(contentsOf: url))
23 return rows.map { Star(hr: Int($0[0]), ra: $0[1], dec: $0[2], magnitude: $0[3], colorIndex: $0[4]) } 35 return rows.map { Star(hr: Int($0[0]), ra: $0[1], dec: $0[2], magnitude: $0[3], colorIndex: $0[4], pmRA: $0[5], pmDec: $0[6]) }
24 }() 36 }()
25 37
26 public static let constellations: [Constellation] = { 38 public static let constellations: [Constellation] = {
@@ -55,7 +67,7 @@ public struct SkyScene: Sendable {
55 self.date = date 67 self.date = date
56 self.observer = observer 68 self.observer = observer
57 let visible = Catalog.stars.filter { $0.magnitude <= magnitudeLimit } 69 let visible = Catalog.stars.filter { $0.magnitude <= magnitudeLimit }
58 let positions = SkyEngine.horizontal(j2000: visible.map { ($0.ra, $0.dec) }, at: date, from: observer) 70 let positions = SkyEngine.horizontal(j2000: visible.map { $0.position(at: date) }, at: date, from: observer)
59 stars = zip(visible, positions).map { PlacedStar(star: $0, position: $1) } 71 stars = zip(visible, positions).map { PlacedStar(star: $0, position: $1) }
60 starsByHR = Dictionary(uniqueKeysWithValues: stars.map { ($0.star.hr, $0.position) }) 72 starsByHR = Dictionary(uniqueKeysWithValues: stars.map { ($0.star.hr, $0.position) })
61 bodies = try ([.moon] + Body.planets).map { body in 73 bodies = try ([.moon] + Body.planets).map { body in
Packages/MoonriseKit/Tests/SkyRendererTests/HistoricalSkyTests.swift added +32
@@ -0,0 +1,32 @@
1import Foundation
2import Testing
3@testable import SkyEngine
4@testable import SkyRenderer
5
6/// The date `years` Julian years from J2000.
7private func epoch(_ years: Double) -> Date { SkyEngine.j2000.addingTimeInterval(years * 365.25 * 86_400) }
8
9private func poleDistance(hr: Int, at date: Date) throws -> Double {
10 let star = try #require(Catalog.stars.first { $0.hr == hr })
11 return 90 - SkyEngine.equatorOfDate(j2000: star.position(at: date), at: date).dec
12}
13
14@Test func polarisClosestAround2100() throws {
15 #expect(try poleDistance(hr: 424, at: epoch(0)) < 0.8)
16 #expect(try poleDistance(hr: 424, at: epoch(100)) < 0.55)
17 #expect(try poleDistance(hr: 424, at: epoch(-2000)) > 10) // year 1
18}
19
20@Test func thubanWasThePoleStar() throws {
21 // Thuban (α Dra, HR 5291) was within about a tenth of a degree of the pole around 2800 BCE.
22 #expect(try poleDistance(hr: 5291, at: epoch(-4800)) < 1)
23 #expect(try poleDistance(hr: 5291, at: epoch(0)) > 20)
24}
25
26@Test func arcturusProperMotion() throws {
27 let arcturus = try #require(Catalog.stars.first { $0.hr == 5340 })
28 let now = arcturus.position(at: epoch(0)), later = arcturus.position(at: epoch(2000))
29 let dRA = (later.ra - now.ra) * cos(now.dec * .pi / 180), dDec = later.dec - now.dec
30 // 2.28″/yr total, so about 1.27° in 2000 years.
31 #expect(abs((dRA * dRA + dDec * dDec).squareRoot() - 1.27) < 0.02)
32}