Passage to Round Earth
Space Trajectories. Flat Earth Solutions
Quizzed article REF: TRP4062 V1
Passage to Round Earth
Space Trajectories. Flat Earth Solutions

Author : Max CERF

Publication date: July 10, 2023 | Lire en français

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5. Passage to Round Earth

The previous section showed how to find a quasi-analytical solution to the orbiting problem when the Earth is assumed to be flat and gravity constant. Here we present a method for transforming this solution back to a more realistic model with a round Earth and altitude-dependent gravity.

5.1 Change of address

The equations of motion in the Round Earth are expressed using the polar coordinates (r, φ, v, γ) shown in figure 10 . Position is marked by radius r and polar angle φ, velocity is marked by its modulus v and local slope γ.

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