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ritwik06
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Q.1 If the mass of the sun is reduced by 1% and the Earth's velocity is also reduced by 1%, what will be the trajectory of the earth?
ritwik06 said:Q.2 In astronomy, looking deeper into space amounts to looking back into the past. If I want to study an object 1 million years ago compared to a similar object in my neighbourhood, how far in the space should I search?
If you wanted to keep the orbit distance the same, then you would reduce Earth speed by the SQUARE ROOT of the factor you reduce sun mass by.ritwik06 said:Q.1 If the mass of the sun is reduced by 1% and the Earth's velocity is also reduced by 1%, what will be the trajectory of the earth?
The Sun would still be considered a "massive body", especially relative to the Earth's mass. Therefore, reducing the orbital velocity of the Earth would make that velocity less than necessary to maintain orbit at present or lesser distance so the Earth would slowly spiral inward and eventually decay to where it would spiral into the Sun.ritwik06 said:Q.1 If the mass of the sun is reduced by 1% and the Earth's velocity is also reduced by 1%, what will be the trajectory of the earth?
Ok, but Marcus said it would change to a more elliptical orbit and you give the formulae for a circular, closer orbit. Wouldn't it do a more eccentric ellipse like Marcus posted? And, would it ever return to the aphelion radius we now have??tony873004 said:I agree with Marcus.
If you wanted to spell it out, formula for circular velocity is: V=sqr(GM/r)
So for the Earth in its present configuration is
sqr(6.67e-11*(1.989e30+5.97e24)/149597870691)
And under a Sun 0.99 times as massive as the current Sun, to maintain a circular orbit at the same distance would be
sqr(6.67e-11*(1.989e30+5.97e24)/149597870691)
To compute the ratios:
sqr(6.67e-11*(1.989e30*.99+5.97e24)/149597870691) / sqr(6.67e-11*(1.989e30+5.97e24)/149597870691)=0.994987
Notice that Everything but the 0.99 under the root symbol in the numerator cancels out, leaving you with sqr(0.99)=0.994987
Labguy said:Ok, but Marcus said it would change to a more elliptical orbit and you give the formulae for a circular, closer orbit. Wouldn't it do a more eccentric ellipse like Marcus posted? And, would it ever return to the aphelion radius we now have??
Astronomy is the study of celestial objects, such as planets, stars, galaxies, and other phenomena in the universe. It involves the observation, measurement, and analysis of these objects and their movements.
Astronomy is a scientific study that uses evidence and observations to understand the universe. It is based on empirical evidence and scientific methods. On the other hand, astrology is a belief system that claims to predict human affairs and terrestrial events based on the positions and movements of celestial bodies. Astronomy is considered a science, while astrology is not.
Astronomers use a variety of techniques to measure distances in space, including parallax, radar ranging, and standard candles. Parallax involves measuring the apparent shift of an object against a background as the observer's position changes. Radar ranging uses radar signals to determine the distance to an object. Standard candles, such as supernovae, have a known brightness, allowing astronomers to calculate their distance by measuring their apparent brightness.
A planet is a celestial body that orbits a star and does not produce its own light. It is much smaller than a star and does not undergo nuclear fusion. A star, on the other hand, is a massive, luminous sphere of plasma that produces energy through nuclear fusion. It is much larger than a planet and can emit its own light.
Astronomers use a variety of tools and techniques to discover new objects in the universe. These include telescopes, both on the ground and in space, as well as computer simulations and data analysis. Astronomers also collaborate and share information to help identify and study new objects in the universe.