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If the mass ratio of the two planets is M1: M2 = P and the orbit radius ratio is R1: R2 = q, then the ratio of the two planets to the sun's gravity is F1: F2=______ ．
The ratio of their gravitation by the sun is F1F2 = gmm1r21gmm2r22 = m1r22m2r21 = pq2, so the answer is: pq2
The masses of the two planets are M1 and M2 respectively, and their orbital radii around the sun are R1 and R2. If M1 = m2, R1 = 4r2, what is the ratio of their periods?
This has nothing to do with the mass of the planet,
According to Kepler's planetary law, the ratio of the third power of the semi major axis of a planet to the square of its period is fixed
So the cycle ratio is 8:1
The masses of the two planets orbiting the sun are M1 and M2 respectively, and the orbital radii around the sun are R1 and R2 respectively
① The ratio of gravity between them and the sun;
② The ratio of the linear velocity of their motion around the sun;
③ The ratio of their revolution period
F1 = GMM 1 / R 1 ^ 2, F2 = GMM 2 / R 2 ^ 2, the ratio of gravitation can be obtained by comparing the two formulas. Linear velocity = the product of orbital radius and angular velocity. The angular velocity of two planets around the sun is equal, so V1: V2 = R1: R2
The revolution period T = 2pi / W, so the periods are equal
The masses of the two planets are M1 and M2 respectively, and the radii of their orbits around the sun are R1 and R2 respectively
Find (1) the ratio of gravity between them and the sun (2) the ratio of their revolution period
1.F=GMm/R^2
F1/F2=(GMm1/R1^2)/(GMm2/r2^2)=(m1/m2)*(r2/r1)^2
2.T1:T2=r1^3:r2^3
T1/T2=(r1/r2)^3/2
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