Explain Kepler's first law (Law of Orbits) for planetary motion.
(N/A) Law of Orbits:
All planets move in elliptical orbits with the Sun situated at one of the foci of the ellipse.
An ellipse is traced out by a planet around the Sun. The closest point is $P$ and the farthest point is $A$. $P$ is called the perihelion and $A$ is called the aphelion. The semi-major axis is half the distance $AP$ (denoted as $a$).
This law was a deviation from the Copernican model,which allowed only circular orbits. (The ellipse,of which the circle is a special case,is a closed curve).
All planets move in elliptical orbits with the Sun situated at one of the foci of the ellipse.
An ellipse is traced out by a planet around the Sun. The closest point is $P$ and the farthest point is $A$. $P$ is called the perihelion and $A$ is called the aphelion. The semi-major axis is half the distance $AP$ (denoted as $a$).
This law was a deviation from the Copernican model,which allowed only circular orbits. (The ellipse,of which the circle is a special case,is a closed curve).
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Let the speed of the planet at the perihelion $P$ in the figure be $v_{P}$ and the Sun-planet distance $SP$ be $r_{P}$. Relate $\{r_{P}, v_{P}\}$ to the corresponding quantities at the aphelion $\{r_{A}, v_{A}\}$. Will the planet take equal times to traverse $BAC$ and $CPB$?
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View SolutionWhich of the following orbits is a possible orbit for a planet?
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View Solution$A$ planet revolving in an elliptical orbit has:
$(A)$ a constant velocity of revolution.
$(B)$ the least velocity when it is nearest to the sun.
$(C)$ its areal velocity is directly proportional to its velocity.
$(D)$ areal velocity is inversely proportional to its velocity.
$(E)$ a trajectory such that the areal velocity is constant.
Choose the correct answer from the options given below:
$(A)$ a constant velocity of revolution.
$(B)$ the least velocity when it is nearest to the sun.
$(C)$ its areal velocity is directly proportional to its velocity.
$(D)$ areal velocity is inversely proportional to its velocity.
$(E)$ a trajectory such that the areal velocity is constant.
Choose the correct answer from the options given below:
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View SolutionWhich quantity remains constant in the orbital motion of the Earth around the Sun?
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View SolutionIf $A$ is the areal velocity of a planet of mass $M$,its angular momentum is
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