Rayon Jup

Distance (km)

Europe

Io

Ganymède

Callisto

1 ua (km)

Rayon (km)

P (jours)

B3 = 1.495978707E8
B1 = 71492
B6 = 671000
B5 = 422000
B7 = 1070000
B8 = 1883000
C5 = 1.76914
C6 = 3.55118
C7 = 7.15455
C8 = 16.68902
D4: "Rayon (" + (UnicodeToLetter[34]) + ")"
B2: ceil(4.590297288 * B3)
α_J: atan(B1 / B2) * 180 / π * 3600
D5: atan(B5 / $B$2) * 180 / π * 3600
D6: atan(B6 / $B$2) * 180 / π * 3600
D7: atan(B7 / $B$2) * 180 / π * 3600
D8: atan(B8 / $B$2) * 180 / π * 3600
A = (-152.08088725977, -193.85532987998832)
g = 611.8 (slider from 400 to 800, step 0.1)
B: (x(A) + g, y(A))
J = (0, 0)
c_J = Circle(J, α_J)
V_E: 2 * π * B1 / 10 / 3600
S'_1 = (-125.41736528770272, -0.3529424191521747)
S'_2 = (201.49882994908737, 0.24868637930418994)
S'_3 = (323.79279642843767, 0.41718004058726776)
S'_4 = (417.93813329119007, -8.02675526476742)
c_1 = Circle(J, D5)
c_2 = Circle(J, D6)
c_3 = Circle(J, D7)
c_4 = Circle(J, D8)
d_1 = Ray(S'_1, Vector[(0, 0), (0, 1)])
d_2 = Ray(S'_2, Vector[(0, 0), (0, -1)])
d_4 = Ray(S'_4, Vector[(0, 0), (0, -1)])
θ = 6.187192198319898 rad (slider from 0*° to 360*°, step 0.1*°)
A' = Rotate(A, θ)
B' = Rotate(B, θ)
I_4 = Intersect(c_4, d_4)
I_2 = Intersect(c_2, d_2)
I_3: (D7, 0)
tps = 1.7916663800000001 (slider from 0 to 20, step 0.02083333)
I_1 = Intersect(c_1, d_1)
S_1: (D5; Angle[(1, 0), J, I_1] + tps * 360 * ° / C5)
S_2: (D6; Angle[(1, 0), J, I_2] + tps * 360 * ° / C6)
S_3: (D7; Angle[(1, 0), J, I_3] + tps * 360 * ° / C7)
S_4: (D8; Angle[(1, 0), J, I_4] + tps * 360 * ° / C8)
c'_J = Circle((0, -600), α_J)
P_1: (x(S_1), -600)
P_2: (x(S_2), -600)
P_3: (x(S_3), -600)
P_4: (x(S_4), -600)
sg_1 = Segment(S_1, P_1)
tps2: tps + 1.0E-5
j: floor(tps2)
m: floor(Mod[tps2 * 24 * 60, 60])
h: floor(Mod[tps2 * 24, 24])
texte1: "Date : " + j + " jours " + h + " h " + m + " min"
v2r: (V_E * 1000)^(2) / (B1 * 1000)
d_3 = Ray((D7, 0), Vector[(0, 0), (0, -1)])
sg_2 = Segment(S_2, P_2)
sg_3 = Segment(S_3, P_3)
sg_4 = Segment(S_4, P_4)