What is the percentage change in the acceleration of Earth toward the Sun when the alignment of Earth, Sun, and Moon changes from an eclipse of the Sun (with the moon between Earth and Sun) to an eclipse of the Moon (Earth between Moon and Sun)?

Assume that Earth's orbital path around the Sun is a perfect circle and that the Moon's orbital path around Earth is also a perfect circle, in the same plane. Also assume that the Moon orbits around Earth's center of mass and Earth orbits around the Sun's center of mass. (Although none of these assumptions are actually true, they are not far off.)

2. Twin Sun system.

In a hypothetical binary star system, each star has the same mass as our Sun, and they revolve about their center of mass. Their orbit is perfectly circular, so that the distance between them is always exactly twice the distance between Earth and our Sun. What is the period of the stars' rotation?

On his 30th birthday, a twin gets on a spaceship travelling at 4/5c which takes him to a distance star system. When he arrives he immediately turns around and comes home at the same speed. His twin sister stays behind on the Earth. Then first twin arrives home on his 48th birthday (by his own watch).
a) How old is his twin si

The solar wind is a continuous stream of particles, mostly protons and electrons, moving away from the Sun. When the particles encounter Earth's upper atmosphere, they are moving at speeds of several hundred km/s. If such a particle reaches Earth's upper atmosphere with a speed of 92 km/s, how fast was it moving when it cross

1. Explain what causes a lunar eclipse. Explain what causes a solar eclipse. Include a diagram. Why don't eclipses occur every month?
2. Describe the phase changes of the Earth that one would see if viewed from the Moon.
3. It is said that Newton unified Earth and the Universe. Explain.

1. What is the tangential speed of Nairobi, Kenya, a city near the equator? The earth makes one revolution every 23.93 h and has an equatorial radius of 6380 km.
A) 74.0 m/s
B) 116 m/s
C) 148 m/s
D) 232 m/s
E) 465 m/s
2. The radius of the earth is 6.38 x 106 m and its mass is 5.98 x 1024 kg. What is the accelerat

In this problem you are to make use of the formula P^2 = 4(pi)^2/mu *a^3, together with the fact that mu = G(m1 + m2). Assume, as is approximately correct, that the semi-major axis for the Earth's orbit about the Sun is 93 million miles and that the period is 365 days. Also assume that the semi-major axis for the Moon's orbit ab

A spacecraft is in orbit around Jupiter. The radius of the orbit is 3.0 times the radius of Jupiter (RJupiter = 71,500 km). The gravitational acceleration at the surface of Jupiter (the surface is defined as the above radius) is 23 m/s2. Without using any other information about Jupiter, what is the period of the spacecraft's

See attached file for full problem description.
In the twin paradox, twin A remains on Earth while twin B travels a distance L, measured in the Earth's inertial frame, at a velocity v to a very distant solar system. In turning around for the return trip, the rocket malfunctions somewhat and achieves only a velocity ½ v. Fi