Question

in the picture of a planet in orbit around its star, area a is double that of area b. what is true of the time the planet takes to travel ( a_1a_2 ) as compared to ( b_1b_2 )? it would require time. four times as much twice as much the same amount of

Explanation:

Step1: Aplicar la segunda ley de Kepler

La segunda ley de Kepler establece que un planeta recorre áreas iguales en tiempos iguales. Esto significa que la tasa de cambio del área \( \frac{dA}{dt} \) es constante.

Step2: Relacionar áreas y tiempos

Si \( A_1 = 2A_2 \), y sabiendo que \( \frac{A_1}{t_1}=\frac{A_2}{t_2} \) (debido a la segunda ley de Kepler), entonces \( t_1 = 2t_2 \).

Answer:

twice as much