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      In orbital mechanics, a porkchop plot (also pork-chop plot) is a chart that shows level curves of equal characteristic energy (C3) against combinations of launch date and arrival date for a particular interplanetary flight. The chart shows the characteristic energy ranges in zones around the local minima, which resembles the shape of a porkchop slice.
      By examining the results of the porkchop plot, engineers can determine when a launch opportunity exists (a 'launch window') that is compatible with the capabilities of a particular spacecraft. A given contour, called a porkchop curve, represents constant C3, and the center of the porkchop the optimal minimum C3. The orbital elements of the solution, where the fixed values are the departure date, the arrival date, and the length of the flight, were first solved mathematically in 1761 by Johann Heinrich Lambert, and the equation is generally known as Lambert's problem (or theorem).


      Math


      The general form of characteristic energy can be computed as:





      C

      3


      =

      v




      2






      {\displaystyle C_{3}=v_{\infty }^{2}\,\!}


      where




      v







      {\textstyle v_{\infty }\,}

      is the orbital velocity when the orbital distance tends to infinity. Note that, since the kinetic energy is





      1
      2


      m

      v

      2




      {\textstyle {\frac {1}{2}}mv^{2}}

      , C3 is in fact equal to twice the magnitude of the specific orbital energy,



      ϵ


      {\textstyle \epsilon }

      , of the escaping object.


      Use


      For the Voyager program, engineers at JPL plotted around 10,000 potential trajectories using porkchop plots, from which they selected around 100 that were optimal for the mission objectives. The plots allowed them to reduce or eliminate planetary encounters taking place over the Thanksgiving or Christmas holidays, and to plan the completion of the mission's primary goals before the end of the fiscal year 1981.


      See also


      Orbit
      Parabolic trajectory
      Hyperbolic trajectory


      References




      External links


      JPL Introduction to Porkchop plots
      Pork-chop plot online computation tool

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    Porkchop plot - HandWiki

    Porkchop plot - HandWiki

    1: Porkchop plot -Jupiter to Venus 2: Porkchop plot -Venus to Mercury ...

    1: Porkchop plot -Jupiter to Venus 2: Porkchop plot -Venus to Mercury ...

    Propellant mass porkchop plot. | Download Scientific Diagram

    Propellant mass porkchop plot. | Download Scientific Diagram

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    Porkchop plot Earth to Saturn transfer. | Download Scientific Diagram

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    M E Porkchop Plot for 2040 | Download Scientific Diagram

    M E Porkchop Plot for 2040 | Download Scientific Diagram

    M E Porkchop Plot for 2040 | Download Scientific Diagram

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    EM Porkchop Plot for 2035 | Download Scientific Diagram

    Degenerate Conic | Porkchop Plots

    Degenerate Conic | Porkchop Plots

    delta v - How do you plot a porkchop plot like this one? - Space ...

    delta v - How do you plot a porkchop plot like this one? - Space ...

    M C Porkchop Plot for 2035-2036 | Download Scientific Diagram

    M C Porkchop Plot for 2035-2036 | Download Scientific Diagram

    Porkchop - Rotten Tomatoes

    Porkchop - Rotten Tomatoes

    Photos of Porkchop on myCast - Fan Casting Your Favorite Stories

    Photos of Porkchop on myCast - Fan Casting Your Favorite Stories

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    Why is there a gap in porkchop plots? - Physics Stack Exchange

    A porkchop plot is a graphical interplanetary mission planning tool that depicts as a contour plot the required energy as a function of departure date and arrival date. The energy needed by the launch vehicle is key in determining the feasibility of such a mission.

    delta v - How do you plot a porkchop plot like this one? - Space ...

    Jul 2, 2019 · What types of delta-v does this plot account for: aerobraking, impulsive maneuvers, gravity assists? If you have more specific information about the porkchop plot itself (as in what the specific mission was) I would also like to see that, I found …

    Online Porkchop Plotter - Space Exploration Stack Exchange

    The Technical University of Madrid offers an online porkchop plotter application that I've used before. You may want to give it a try--I thought it was pretty good. Here is what the entry form looks like: And here is one of the resulting plots:

    Earth Moon Pork chop plot - Space Exploration Stack Exchange

    Mar 12, 2020 · For an Earth-Moon porkchop you could pick either a point on the Earth's surface or a particular low Earth orbit as your start. For example, here's a porkchop plot showing the delta-v required for transfer from Apollo 13's initial Earth orbit to the Moon (orbital elements from SpaceTrack catalog, orbit positions calculated using JPL Horizons)

    Pork chop plot generator and Lambert solver test cases

    Mar 16, 2017 · I am looking for a free tool which can generates pork chop plots. I'm doing this to compare the output of my tool with one of a third party. Additionally, if anyone has specific test cases on solving

    orbital mechanics - C3 calculation in interplanetary missions

    Apr 10, 2018 · $$ $$ The thing is, that I don't understand how the C3 changes with the arrival date, as I understand, C3 has something to do with the escape velocity, being $$ C_3=v^2-v_{esc}^2 $$ But the thing is, how do I calculate this at the arrival? as I do not want to escape but intercept a planet. And, how do I represent this in the porkchop plot?

    Hohmann transfer trajectory and "porkchop plot"

    Jan 22, 2019 · The “porkchop plot” for a spacecraft flying from Earth to Mars would show contours of equal characteristic energy against combinations of launch date and arrival date. Assuming the spacecraft has sufficient performance margin, could it “step up” to another contour at a later point in the mission by changing its Hohmann transfer ...

    orbital mechanics - Calculating time for several transfer orbits ...

    Dec 20, 2021 · Hohmann transfers are not used to get spacecraft to Mars. What is used is a solution to Lambert's problem, but then one needs a solution that makes sense. There are multiple questions and answers on this site that ask about pork chop plots (or porkchop plots), and also on the physics and astronomy sister sites.

    orbital mechanics - Space Exploration Stack Exchange

    Qeustion: With these calculations, I have a $\Delta V=19$ km/s approximately, but the $\Delta V$ I have according to the porkchop plot is about 8.8 km/s. I am new with Astrodynamics, so I am trying to learn how to calculate this properly, but I don't find the mistake and I …

    orbital mechanics - How exactly would nuclear thermal or nuclear ...

    May 1, 2024 · But your comment raises a good point. Venus flyby trajectories would need to be considered to properly answer this question. Do most online porkchop plot generators simplify to just the Sun, Earth, and Mars or do they also consider the influence of other planets such as Venus and Jupiter? $\endgroup$ –