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[parent] example converting ecliptic coordinates to rectangular coordinates (Example)

Consider an object with ecliptic coordinates:

The conversion to rectangular coordinates is given in ecliptic coordinate system:

x = r cos b cos l,
y = r cos b sin l,
z = r sin b.

Convert to radians:

∘ π- ∘ π-- l = 30 = 6 ≈ 0.5236, b = 15 = 12 ≈ 0.2618.

Compute:

cosb ≈ 0.9659, sin b ≈ 0.2588, cos l ≈ 0.8660, sin l = 0.5000.

Then:

x = 1 × 0.9659 × 0.8660 ≈ 0.8365,

y = 1 × 0.9659 × 0.5000 ≈ 0.4830,

z = 1 × 0.2588 ≈ 0.2588.

Thus, the rectangular coordinates are:

(x,y,z ) ≈ (0.8365, 0.4830, 0.2588)AU.

This example was generated by Grok, an AI developed by xAI, on March 13, 2025.


"example converting ecliptic coordinates to rectangular coordinates" is owned by bloftin.
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See Also: ecliptic coordinate system


This object's parent.

Cross-references: ecliptic coordinate system, latitude, longitude, ecliptic

This is version 2 of example converting ecliptic coordinates to rectangular coordinates, born on 2025-03-14, modified 2025-03-14.
Object id is 990, canonical name is ExampleConvertingEclipticCoordinatesToRectangularCoordinates.
Accessed 1338 times total.

Classification:
Physics Classification: 95.10.-a (Fundamental astronomy)
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