We have launched a rocket to MARS! Will it get there and how do we stop it once it's there?

This is a series of easy to understand space mechanics and my personal take on trying to educate new people into what space is and the mysteries of science in general. I am a Software Engineer and I have worked for 11 years in the Aviation Industry while also being a science and space geek. My goal is to inspire you to keep an open mind about science and to consider a science career.

Source

On our way to MARS

In the previous article we found out about the mechanics of a rocket launch , attaining orbit and how to do a Hohmann transfer maneuver. In order to get to MARS with the least amount of energy as possible (read it as fuel) we would need to perform a Hohmann transfer orbit with a radius so big that it would eventually get us out of Earth's Sphere of Influence ( the point in which the gravitational pull of the Earth stops being the primary gravitational influence).

There are other ways to achieve a Mars injection orbit but we will focus on the Hohmann maneuver after looking at all of them:

Source

Method A is the Hohmann Transfer Orbit. Its advantage is that it fights the gravitational forces the least but its disadvantage is that it is time consuming although more time spent means that the insertion velocity is also lower.

Method B is the Conjunction Mission which burns a little more fuel but greatly reduces the time spent in transit, although the velocity remains high by the insertion time.

Method C is the Opposition Mission which needs an initial lower Delta-v budget to actually slow down its heliocentric velocity and get closer to the Sun, since it uses the gravitational pull of the Sun to assist in the steering. This is called a gravity assist and we will go there a little later.

There is no right and wrong ways and it's almost always a mission dependent decision. Factors like the payload, hull strength, mission length and the choice of engines might affect the type of insertion used.

Because if you remember what we found out in the last article, in the vacuum of space any force exerted on the spacecraft will continue its effect until a similar but contrary force is used to nullify the first one. It was Newton's first law of motion.

This means that the science fiction movies in which an engine burns for the whole duration of the trip and then it's shut off on arrival and it suddenly stops is fake? Well.. it's called a science fiction movie after all :D

Both videos are the property of Andrew D. Visit him on Youtube for more simulations.

Do we need to have to carry and burn the same amount of fuel to stop?

Maybe not. If we use physics and take advantage of a few extra of its features, we can plan and reduce the weight of the fuel carried to a minimum.

What is a Gravity Assist Procedure?

The process in which the gravity of an astronomical object is used to alter the path and velocity of a spacecraft. Such a procedure can be used to alter the direction, speed up or slow down a spacecraft by using the forces exerted by much a massive object in comparison to the small mass of the spacecraft.
Furthermore, in addition to the velocity change of entering and leaving the gravitational well of a planet (which usually negates itself), by using the astronomical object's relative heliocentric velocity, futher velocity can be added or substracted to and from the spacecraft. If the spacecraft is approaching from a tangential point and passes in front of the planet along its orbit around the sun it will slow down. If the spacecraft intersects the planet from behind of the planet's orbit around the sun, the spacecraft will speed up.
Funny fact: The spacecraft also has a mass which means that the spacecraft is also slowing down or speeding up the planet while doing this maneuver but since the mass difference is astronomical( get the pun?), it's not going to alter its orbit by anything worth calculating.

But there is more, if the planet we choose to visit has an atmosphere, like Mars does. We can use use the higher levels of the atmosphere to slow down our spacecraft.
This is called aerobreaking and it acts exactly like a retrograde burn. It consists of 3 steps taken while still in the late stages of transfer orbit:

Aim for a Mars encounter coming in front of the planet.

Minor adjustments along the way to minimize the Delta-v and aim for a Low Mars Orbit, barely touching the atmosphere.

If needed point the thrust retrograde and while at the closest point to the planet (the future periapsis of the orbit), perform a small burn to help keep the speed under the Mars Escape Velocity.

Success. By using no thrust or very little we have managed to be captured by Mars in a highly elliptical orbit, and by completing each orbit in which we graze the Martian Atmosphere we decrease the Apoapsis of our orbit and reduce the orbital period (the time to perform a full orbit). Below you have an example of the Mars Climate Orbiter that attempted a similar maneuver. You can see how the orbits successively reduced their period until a circularization was possible:

Source

In the next article I will talk about powered and powerless landings, drogue chutes and parachutes. And I am also going to write something about special types of orbits (Geostationary, Geosynchronous and Lagrangian Points).

Sources:
Text is mine. This time I learned from your feedback and cut the formulas down. Maybe I will revisit the formulas in a future article & thanks for your awesome support on the last few of my articles. Images are public domain under GNU or Creative Commons; sourced appropriately & most with linked licenses. My rockety text dividers. If you have any other questions I will be more than happy to talk them with you! Thank you for reading and I wish you a perfect week!
Thanks @Mitneb & @SteemEngine for featuring me over and over and over and thanks @shaka for believing and resteeming science!

My other science articles:
How do rockets really get to where they're headed?
Falcon Heavy Launch
Kerbal Space Program Simulator
Using GPS while in flight to track yourself on the globe
Air Traffic Controllers