diff --git a/Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/README.md b/Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/README.md new file mode 100644 index 0000000..3aca100 --- /dev/null +++ b/Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/README.md @@ -0,0 +1,69 @@ +## Fiddlin' John Carson (22 points) +### Category: "Guardians of the…" + +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: +``` diff --git a/Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/images/keplerian.png b/Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/images/keplerian.png new file mode 100644 index 0000000..0186ede Binary files /dev/null and b/Hack-A-Sat 2021/Guardians of the/Fiddlin John Carson/images/keplerian.png differ