Which statement is true about the motion of a planet in its orbit around the sun?

A) the orbital speed increases as the planet approaches apogee

B) the planets orbital speed changes as it moves closer and farther from the sun

C) perigee is when the orbital speed is at its least

D) the orbital speed of the planet remains constant as it orbits the sun

I put b. Can someone tell me if I’m right or not pls

1. D. Elliptical

2. C. The sun is located at one focus.
3. C. The planet's orbital speed changes as it moves closer and farther from the Sun.
4. A. 1.59 AU
5. C. 3.49 Years

Hope this helps

Never mind the answer is

D) 3.49 years

Cuz when you do
T^2=s^3
S=2.3
T^2= (2.3)^3
T^2 = square root of 12.167
T^2 = 3.488

I submitted it. I got everything right except the 2nd question. It was actually 1.59 AU

I also need help with this one, but I have no idea what the answer is. Can someone pls help me

If a planet had a semi-major axis length of 2.3 AU as it orbits the sun, what would be its period in years?

A) 12.2 years
B) 1.74 years
C) 2.3 years
D) 3.49 years

T = constant * R sqrtR

say T = R^1.5 since only ratios important
if R = 10
it T= 10
R^1.5 = 10
1.5 log R = 1
logR = 1/1.5
R = 4.64
if R = 20
logR = 1.3/1.5
R = 7.35
7.35 / 4.64 = 1.584

To determine the correct statement about the motion of a planet in its orbit around the sun, let's analyze each option:

A) "The orbital speed increases as the planet approaches apogee."

This statement is incorrect. Apogee refers to the point in the planet's orbit where it is farthest from the sun. As the planet moves away from the sun, it actually slows down, resulting in a decrease in orbital speed.

B) "The planet's orbital speed changes as it moves closer and farther from the sun."

This statement is correct. According to Kepler's second law of planetary motion, the planet's movement is not at a constant speed when it orbits the sun. Instead, it follows an elliptical path, and its distance from the sun changes throughout its orbit. As a result, the planet's orbital speed varies accordingly.

C) "Perigee is when the orbital speed is at its least."

This statement is incorrect. Perigee refers to the point in the planet's orbit where it is closest to the sun. When the planet is closer to the sun, it actually speeds up, resulting in an increase in orbital speed.

D) "The orbital speed of the planet remains constant as it orbits the sun."

This statement is incorrect. As mentioned before, the planet's orbital speed changes as it moves closer and farther from the sun, making it non-constant.

Considering the analysis, Option B is the correct answer. The planet's orbital speed changes as it moves closer and farther from the sun.

If a planet existed that had a period twice that of earth, what would be the length of the semi-major axis as it orbits the sun

A) 2.83 AU
B) 2 AU
C) 1.59 AU
D) 4 AU

I put 2.83 AU
Can someone tell me if this is right too pls?