SFS Contours

Overview

SFS Contours is an application designed to assist a mission analyst in visualizing the variations of performance requirements and certain spatial relations over a span of departure and arrival dates of heliocentric trajectories between two solar system bodies. This is achieved by drawing lines of constant values (contours) of one or more of 16 trajectory variables over a departure date/arrival date grid. Because of the characteristic shape of energy related parameters, such as hyperbolic excess speed, such contours are often called “porkchop plots”.

SFS Contours is a new product, first introduced in January 2026. It is intended for use by mission and trajectory design analysts as a tool that complements any suite of mission design software.

SFS Contours is required for each workstation on which it is installed and may be used by all users with an account on that workstation. Licenses are perpetual and include version upgrades that are released within six months of purchase. Contact SpaceFlightSolutions for current licensing fees for the application.

™SFS Contours is a trademark of Jerry L. Horsewood

Features

The User Interface

The graphical user interface (GUI) for the contours application includes a main menu bar, a control panel and the drawing area with a grid background. Following is an example showing contours of departure and arrival hyperbolic excess speeds, in km/s, for the 2033 Earth Mars mission opportunity.

Note that the control panel has three tabs down the right side, of which the lower tab is active in the figure. The controls on this tab allow one to customize the size and configuration of the grid area and to toggle the legend and line label displays. Additional controls permit one to add or edit custom text annotations and the chart title, while the controls at the bottom of the panel permit one to save or print the drawing. The contents of the other two tabs are shown below.

The panel on the left provides controls for creating a file of trajectory solutions over ranges of departure and arrival date ranges at a specified time increment. The content that populates the panel above is that used to create the data file from which the contour chart above was drawn. Once the file is created, it is saved and re-used for later drawings. The panel on the right is used to process specific parameters to create sorted lists of grid points defining the contours of a parameter of interest. The option buttons are used to select any one of 16 parameters to be processed. Desired values of the parameter for which controus are to be created are entered in the data field under the label “Contour Values”. Once processed the list of points defining the contour are saved and may be used without re-processing for future drawings. Descriptive names of the parameters that have been processed are listed in the scrollable list under the heading “Available Parameters”. Drawings are made of all parameters in the list for which its checkbox is checked.

Utilities and Support Tools

Identifying the appropriate date ranges for displaying contour charts are not necessarily obvious. Several tools are included with the applications to help identify ranges of interest and are accessed from the main menu bar.

Visualization Support

When viewing a drawing of contours, the actual trajectory that would result for a specific departure date/arrival date pair may not be immediately obvious. To clarify this issue, one can point the cursor to any point in the grid and right-click the mouse to display a new form that shows the trajectory along with the dates and hyperbolic excess speeds at departure and arrival. An example for a point within the union of the Type 1 3 km/s departure excess speed contour and the 3.5 km/s arrival excess speed contour is shown in the figure on the right. Less obvious trajectory profiles occur for transfers where the flight time and travel angle are at opposite extremes. Some examples are shown below.

3-day flight time, 2-degree travel angle

3-day fight time, 358-degree travel angle

356-day flight time, 358-degree travel angle

461-day flight time, 2-degree travel angle

Documentation

Documentation for the SFS Contours application is provided in a variety of forms.

System Requirements

SFS Contours is a 64-bit Windows Forms application running on the Windows 11 platform. It is licensed for use by all user accounts on a single workstation. For successful operation, the application requires that the workstation also host the Word application of Microsoft Office. Acceptable performance of SFS Contours is achieved with virtually any current laptop or desktop computer that is capable of running the Windows 11 operating system.

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