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第七章:飞向火星

1. 飞行距离及时间

地球和火星之间的距离不是固定的,因为两颗行星都绕着太阳公转,分别位于不同的轨道上。它们之间的距离会随着各自在轨道上的位置而变化。火星与太阳的平均距离约2.27亿千米,而地球与太阳的平均距离是大约1.5亿千米。地球与火星之间的平均距离大约是2.25亿千米。火星和地球之间的距离在它们各自轨道上的不同点会有很大的变化。最近的时候(即火星在近日点附近,地球在远日点附近),这个距离可以缩短到约5,460万千米,而最远的时候(即火星在远日点附近,地球在近日点附近),这个距离可以增加到约4亿千米。这种距离的变化对于火星探测任务的安排和太空旅行的计划至关重要。通过这些详细的考量,科学家和工程师们能够为火星探测器和未来的火星车选择最合适的着陆点,以实现科学目标并确保任务的成功。计算以恒定的地球重力加速度(9.8.m/s²)从地球表面直接飞向.火星所需的时间(前半程加速、后半程减速)假如能够大概以一个重力加速度飞往火星,前半程加速、后半程减速,那么飞行器上将大概能够维持地球的重力,避免出现失重的情况。那么飞行时间大概是多久呢?首先,将旅程分为两半:前半程以1g加速,后半程以1g减速,以便在火星处速度为零。对前半程使用恒定加速度公式:d 1= at22 211 d = × 11其中d 是地球到火星的平均距离,我们取d =2.25×10 米。 1.125 10 米。加速度a= 9.8m/s²。我们需要求解前半程时间t 。重新排列公式解出前半程时间t :d 2.25×1011t = =a 9.8计算前半程时间t,结果如下:前半程时间(秒):151,522.88秒总时间: 2 × 151,522.88 = 303,045.76小时总时间(小时):84.18小时总时间(天):3.51天。中点最大速度:v =a t = 9.8 × 151,522.88 ≈ 1,485 km/s因此,如果使用恒定的地球重力加速度(1g),前半程加速、后半程减速,从地球飞向火星大约需要3.5天。这是一个理论计算,实际情况要复杂得多,因为航天器不能在整个旅程中保持恒定的加速度,并且需要考虑轨道动力学和行星引力的影响。此外,实际上,也无法完全以一个重力加速度飞向火星,因为过程中还涉及减速。可能在前半段时间,加速度为1.1个重力,第二部分:建立后续减速也在1.1个反向重力减速。此处仅仅是一个大约计算。最后,加减速过程还涉及大量能量消耗,小型核聚变动力的技术突破将成为关键。

2. 登陆火星

选择登陆点选择火星登陆点是一个复杂的过程,需要综合考虑工程约束和科学目标。登陆点需要相对平坦,以便于着陆器的平稳降落。此外,登陆点的地理高程不能过高,以确保探测器能够通过与大气的相互作用充分减速。火星的北半球地形相对平坦,是大多数火星着陆探测器的首选着陆区域。此外,未来的火星探测任务,包括载人登陆,还需要考虑水资源的可用性。火星上的水主要以冰的形式存在,因此在低纬度地区寻找富含水合矿物质的地区作为着陆点是合理的选择,因为这些地区可能更容易获取水资源。通过这些详细的考量,科学家和工程师们能够为火星探测器和未来的火星车选择最合适的着陆点,以实现科学目标并确保任务的成功。

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English

Chapter 7: Flying to Mars

1. Flight Distance and Time

The distance between Earth and Mars is not fixed, as both planets orbit the Sun on different orbital paths. Their distance varies depending on their respective positions in their orbits. Mars's average distance from the Sun is approximately 227 million kilometers, while Earth's average distance from the Sun is about 150 million kilometers. The average distance between Earth and Mars is approximately 225 million kilometers. The distance between Mars and Earth varies greatly at different points in their respective orbits. At their closest (when Mars is near perihelion and Earth is near aphelion, and both planets are on the same side of the Sun), the distance can be as short as about 55 million kilometers. At their farthest (when both planets are on opposite sides of the Sun), the distance can reach about 401 million kilometers. Due to these distance variations, flight time to Mars also fluctuates. Using current chemical propulsion technology, a one-way trip to Mars typically takes about 6 to 9 months, depending on the relative positions of Earth and Mars and the specific trajectory chosen. The optimal launch window occurs approximately every 26 months, when Earth and Mars are in favorable relative positions, making the trip shorter and more fuel-efficient. Therefore, mission planning for Mars must carefully consider launch windows to ensure the spacecraft can arrive at Mars at the optimal time.

2. Optimal Flight Routes

There are various route options for flying to Mars, but the most commonly used are Hohmann transfer orbits and their variants. The Hohmann transfer orbit is the most energy-efficient route, in which the spacecraft uses Earth's orbital velocity and a single engine burn to enter an elliptical orbit that intersects Mars's orbit, and then uses another burn to enter Mars's orbit upon arrival. This method is relatively fuel-efficient but takes longer, typically requiring about 6 to 9 months. In addition to the Hohmann transfer orbit, there are faster route options, such as high-energy transfer orbits. These routes require more fuel but can significantly reduce flight time, potentially completing a one-way trip in 3 to 4 months. However, these high-energy routes have higher costs and are typically used for missions with strict time requirements. Furthermore, with the development of new propulsion technologies such as nuclear thermal propulsion and ion propulsion, future Mars flight times are expected to be further reduced. Nuclear thermal propulsion can provide greater thrust, potentially reducing the one-way trip to 3 to 4 months, while ion propulsion, though providing lower thrust, can operate continuously for long periods and is suitable for cargo transport missions with less time sensitivity.

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