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69 changes: 69 additions & 0 deletions Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/README.md
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## Fiddlin' John Carson (22 points)
### Category: "Guardians of the…"
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Can you please fill out the top section the way that we have done other Hack-a-Sat writeups? See Hack-A-Sat 2021/Rapid Unplanned Disassembly/Grade F Prime Beef for an example.

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@BusesCanFly did you want to change anything that @mossmann suggested?


After connecting to the challenge server we are greeted with this:
```
KEPLER
CHALLANGE
a e i Ω ω υ
. .
,' ,=, .
, / \ .
. | | .
. \ / .
+ '=' .
. .'
. . '
'
Your spacecraft reports that its Cartesian ICRF position (km) and velocity (km/s) are:
Pos (km): [8449.401305, 9125.794363, -17.461357]
Vel (km/s): [-1.419072, 6.780149, 0.002865]
Time: 2021-06-26-19:20:00.000-UTC

What is its orbit (expressed as Keplerian elements a, e, i, Ω, ω, and υ)?
Semimajor axis, a (km):
Eccentricity, e:
Inclination, i (deg):
Right ascension of the ascending node, Ω (deg):
Argument of perigee, ω (deg):
True anomaly, υ (deg):

That didn't work, try again!
```

So, given a position vector and velocity vector we need to find the [Keplerian elements](https://en.wikipedia.org/wiki/Orbital_elements) to describe the orbit

[This site]([https://elainecoe.github.io/orbital-mechanics-calculator/calculator.html](https://elainecoe.github.io/orbital-mechanics-calculator/calculator.html "https://elainecoe.github.io/orbital-mechanics-calculator/calculator.html") has a calculator that allows you to convert Cartesian position and velocity vectors to the respective orbital elements.

![keplerian](images/keplerian.png "Keplerian elements")

Plugging those in, we get:

```
KEPLER
CHALLANGE
a e i Ω ω υ
. .
,' ,=, .
, / \ .
. | | .
. \ / .
+ '=' .
. .'
. . '
'
Your spacecraft reports that its Cartesian ICRF position (km) and velocity (km/s) are:
Pos (km): [8449.401305, 9125.794363, -17.461357]
Vel (km/s): [-1.419072, 6.780149, 0.002865]
Time: 2021-06-26-19:20:00.000-UTC

What is its orbit (expressed as Keplerian elements a, e, i, Ω, ω, and υ)?
Semimajor axis, a (km): 24732.96738133805
Eccentricity, e: 0.7068077979296534
Inclination, i (deg): 0.11790360842507447
Right ascension of the ascending node, Ω (deg): 90.22650379956278
Argument of perigee, ω (deg): 226.58754885495142
True anomaly, υ (deg): 90.38986518838934

You got it! Here's your flag:
```
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