What is the Newton's version of Kepler's third law?

Answer 1
Newton's law #F_g=G·(M_s·M_p)/R^2# where #M_s, M_p# are the
mass of Sun and a planet, #G# is a constant value and #R# is the distance between Sun and Planet.
Kepler's Law is #T^2/R^3=K# constant and T is period of traslation in orbit and R again, distance between Sun and Planet.

We know that centrifuge force is given by

#F_c=M_p·a=M_p(2pi/T)^2·R# where a is acceleration in orbit

Then combining both expresions

#T^2/R^3=(4pi^2)/(GM_s)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

Newton's version of Kepler's third law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. Mathematically, it can be expressed as T^2 ∝ a^3, where T is the orbital period and a is the semi-major axis of the orbit.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7