I was awakened by a notification alert buzz on my wristband. Getting direct messages is rare, and never this personal. Socializing with other survivors is typically done in groups, and there are unwritten protocols that allow us to keep safe interpersonal distance so that no one gets too attached or depressed. When you contact someone there is usually a specific reason, like if there is a sudden mass-dying of your tiny school of fish, or if you are seeking advice about having been overcharged by an extra-planetary real estate broker. Besides, most of our spaceships are very far apart from each other, and they are not designed to travel. Some pods unfortunately got knocked around during the initial escape event and are now traveling near the speed of light perpetually. Others have latched onto the gravitational force of a moon or a planet in a foreign solar system, revolving regularly around another mass.
I figured if I just let out a little wisp of air, like releasing the valve of a pressure-cooker, I might be able to set my pod in motion. This small amount of air should create a momentum to push my spacecraft along a new vector, allowing me to eventually accelerate on a trajectory towards this gas giant. I should be able to reach my terminal velocity in about two months and arrive in another five. I can even use the gravity of the gas giant to slingshot myself back towards the coordinate and decelerate by mirroring the air-wisp strategy in the opposite direction. The control panel of the heating-cooling unit is lodged inside one of the caps of the cylinder. I can access the buffer vestibule to let out some air.
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The moment I dialed the nozzle on the air supply, I had the air sucked out of my lungs. The vacuum of outer space rapidly forced a much higher volume of air out of the pod than I anticipated. Like a round of bullets fired by a Gatling gun, the tufting buttons flew out of the pillows towards me, loosening the room into more of a flaccid pile of cloth, with batting flapping in the gusting air. The structural members of the storage rooms bent out too, pulling off the nuts and bolts and tearing off the cladding fabric. Some of the plants outside of the greenhouse withered immediately, and the greenhouse itself collapsed. The toilet, connected to the compost ductwork was emptied immediately, and made this struggling noise when trying to siphon out any remaining fluids left in the system. Something was caught in the air gap and produced this flatulent sound, alongside the fluttering of my fitness resistance bands. A few of the buttons ricocheted off of the aquarium and cracked the glass. I scuffled as I tried to remember the emergency protocols from the instruction manual.
As I latched off the vestibule to restore cabin pressure and stabilize temperature, the aquarium ruptured and the tank exploded. Blobs of water spewed out and floated around in the spaceship, some of which contained tilapia helplessly trapped in the globular water bubbles. Some of the unlucky fish without water suffocated promptly. The inward-facing water pipe deformed due to the sudden change in temperature and pressure and started leaking more globs of liquid. The pillow is no longer taut, and greatly expanded in volume, vastly reducing the amount of occupiable interior space. Home is now a well-shaken snow globe full of buttons, batting, fiber, nuts and bolts, microchips, farm tools, utensils, broken glass, tooth, blood, soil, feces, urine, dead leaves, dead fish, and shimmering globs of water. Like every other confetti I saw on earth, I reckon it will take some time before I can properly clean up the debris.
My pod is now accelerating and picking up velocity. I can see my injured face against the total darkness outside, now trickling with streaks of stars and planets rapidly moving behind me. I am fairly certain the trajectory towards the gas giant has the correct coordinates, but I really just need to take a moment to take my mind off my current plight. As I continue to sustain the electrocution on my arm and the throbbing pain all over my body, I am thinking about ways I might be able to preserve the dead fish for future consumption, as well as strategies that might keep the living ones alive. My eyes are closed. I am floating around. I think I need to take a nap.
I wake up to the reflection of my injured face against a glowing red-hot gas giant. No swirls, no hexagons, no rings. My digital pen pal dispatched a rescue receiver to catch me. I traveled fifty million kilometers to meet another human, and I finally arrived. I watched as our pods docked with one another slowly and my vestibule door opened for the first time since the disaster. I was elated that my journey is finally at a close, and honestly looking forward to meeting this other person. I am no longer just a perfect cyborg. I must have travelled this far because I longed for some change, some social contact after all. I chose to be a broken machine so I can be more human.
This is how we met for the first time. A pinched nose indicating a look of repugnance, arms crossed, eyes rolling and lips tight. We chatted briefly, and went back to our respective chambers. The vestibule door remained closed most of the time, except for the few occasions I asked for some help on my tilapia restoration project. We visited a few of the moons of the gas giant when their orbits got close, but each gathering would end in bickering by the end. For either of us to move away, one of us might have to trigger a similar misery I already experienced.
On rare days, though, we do have a good time eating together, reminiscing about life on earth, laughing about TV shows we both watched. My tilapia colony has regrown, my greenhouse is reseeded, and my spaceship is mostly back in full function. There is no longer just darkness against my reflection, but a glowing red ball. I no longer think about timekeeping solely for medical reasons, but sometimes for social reasons too.
I'm new here and I'm a newbie to physics, my question is does spaceship's weight matter in space? is that a consideration when designing spaceships/space probes? (I know that it does matter because the more the object weights the more power the rocket carrying the object needs to be to get it to space) but once the object is in space does weight matter there?
However, in your example, we've forgotten about how the spacecraft got out of earth's gravity. In that case, the orbit of a spacecraft is completely independent of its mass**. Your 5 tonne spacecraft is going to follow exactly the same path as your 10 tonne one until you get to Jupiter.
Now you're at Jupiter, you need to slow down to enter orbit (you will gain enough energy as you fall down the gravity well to just shoot out the other side of it). Now the mass of the spacecraft does matter. Your 10 tonne spacecraft will have twice as much kinetic energy as your 5 tonne one. This means you need twice as much fuel to slow it down. But if you're carrying more fuel, you increase the mass even more, and need even more fuel to slow that extra fuel down, and then you need more fuel to slow down that fuel, and so on. Weight is absolutely key for things like this, and it is why spacecraft try and shave off every gram of mass they can.
*So weight and mass are two different things. Mass is a property of an object. It's basically how hard it is to accelerate. 10kg of lead is far harder to accelerate than 1kg of lead, even in deep space. Weight is the force caused by gravity, which can vary. On earth, gravity causes a force of 10 Newtons for every kg of mass. In deep space, 1kg of mass isn't being pulled upon by any gravity, so it weighs nothing.
**This isn't strictly true, but for anything smaller than a decent sized moon, the mass of the orbiting body is irrelevant compared to the mass of the body it is orbiting. Basically, the heavier your spacecraft is, the more it and the sun "pull" on each other due to gravity. But also, because it is heavier, it is harder for the sun's gravity to accelerate. Turns out these two effects cancel each other out completely and the orbit stays the same.
Weight comes if an acceleration is applied to the mass and something works against the acceleration. As long as the ships coast they have a mass but no weight. As you point out: different planets, different gravity -> different acceleration. The weight comes into pley as soon a force works against the acceleration (like a scale on the ground).
In your example the ships (suppose they are flying close together and are only exposed to the same overall gravity) arrive at the same time cause nothing works against the gravity induced acceleration.
tl;dr It does - just not in the way you've thought, unlike things that move on the Earth's surface with all the friction. Space trajectories (um, paths) is about getting something moves to a certain velocity (speed and direction) for a certain behavior, every now and then. Only during those times mass (not weight, really) matters. Problems are those mass can't increase again - it has to decrease.
Assuming all other circumstances are the same, they will arrive at pretty much exactly the same time. I say pretty much, because the slight gravitational tug from surrounding bodies will have different effects in minor ways. However, if you arrive there, you are likely going to need to change the speed or orientation of the craft to enter a orbit. This time, mass is very important, as the energy required to move the craft will fully depend on the mass times the speed. A heavier spacecraft will require much more energy to be moved, sped up or slowed down. Conversely, a 10000 metric tonne spacecraft will need a much larger rocket to put it on the same trajectory when compared to a 5000 metric tonne spacecraft.
Also note that 10000 metric tonne is a very high mass spacecraft. 10 metric tonne is much more reasonable. For instance, the full ISS has a mass of 419,455 kg, which means it is 419 metric tonne. Your proposed light spacecraft has a little over 10 that mass and your heavy spacecraft is close to 25 times. 152ee80cbc
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