“2021年IOAA理论第3题-火星”的版本间的差异
来自astro-init
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==英文题目== | ==英文题目== | ||
A spacecraft of mass $$m=5.0\times 10^{4} kg$$ approaches in a parabolic orbit 𝐴𝐵, with respect to Mars. When the spacecraft reaches point 𝐵 of least distance to the center of Mars,$$r_{B} =6.8\times 10^{6} m$$, it undergoes an instantaneous deceleration using its rockets and goes into a perfectly calculated orbit so that it will touch the Martian surface exactly at point 𝐶, diametrically opposite 𝐵, as shown in the figure. | A spacecraft of mass $$m=5.0\times 10^{4} kg$$ approaches in a parabolic orbit 𝐴𝐵, with respect to Mars. When the spacecraft reaches point 𝐵 of least distance to the center of Mars,$$r_{B} =6.8\times 10^{6} m$$, it undergoes an instantaneous deceleration using its rockets and goes into a perfectly calculated orbit so that it will touch the Martian surface exactly at point 𝐶, diametrically opposite 𝐵, as shown in the figure. | ||
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| + | 3.1 Determine the speed ($$km\cdot s^{-1} $$) of the spacecraft at point 𝐵 just before the deceleration. | ||
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| + | 3.2 Calculate the total energy (𝐽) of the spacecraft as it is moving between points B and C. | ||
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| + | 3.3 Calculate the speed ($$km\cdot s^{-1} $$) of the spacecraft at point 𝐶. | ||
==中文翻译== | ==中文翻译== | ||
==解答== | ==解答== | ||
2022年10月4日 (二) 22:18的最新版本
英文题目
A spacecraft of mass $$m=5.0\times 10^{4} kg$$ approaches in a parabolic orbit 𝐴𝐵, with respect to Mars. When the spacecraft reaches point 𝐵 of least distance to the center of Mars,$$r_{B} =6.8\times 10^{6} m$$, it undergoes an instantaneous deceleration using its rockets and goes into a perfectly calculated orbit so that it will touch the Martian surface exactly at point 𝐶, diametrically opposite 𝐵, as shown in the figure.
3.1 Determine the speed ($$km\cdot s^{-1} $$) of the spacecraft at point 𝐵 just before the deceleration.
3.2 Calculate the total energy (𝐽) of the spacecraft as it is moving between points B and C.
3.3 Calculate the speed ($$km\cdot s^{-1} $$) of the spacecraft at point 𝐶.
