Question

A planet of mass 4e24 kg is at location <5e11, -2e11, 0> m. A star of mass 5e30 kg is at location <-2e11, 3e11, 0> m. It will be useful to draw a diagram of the situation. (a) What is the relative position vector r pointing from the star to the planet? (b) What is the (vector) force exerted on the planet by the star? (c) What is the (vector) force exerted on the star by the planet? (d) The velocity of the planet at this instant is <0.5e4, 1.5e4, 0> m/s. (e) Determine the velocity of the planet 2e7 seconds later. (f) The planet has a new position and a new velocity. Starting from these new conditions, briefly explain how you would determine the new vector gravitational force exerted by the star on the planet and update the position of the planet. What approximations or simplifying assumptions did you make?

          A planet of mass 4e24 kg is at location <5e11, -2e11, 0> m. A star of mass 5e30 kg is at location <-2e11, 3e11, 0> m.
It will be useful to draw a diagram of the situation.
(a) What is the relative position vector r pointing from the star to the planet?
(b) What is the (vector) force exerted on the planet by the star?
(c) What is the (vector) force exerted on the star by the planet?
(d) The velocity of the planet at this instant is <0.5e4, 1.5e4, 0> m/s.
(e) Determine the velocity of the planet 2e7 seconds later.
(f) The planet has a new position and a new velocity. Starting from these new conditions, briefly explain how you would determine the new vector gravitational force exerted by the star on the planet and update the position of the planet. What approximations or simplifying assumptions did you make?

Added by Kari M.

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