Methods and systems for displaying a vertical profile for an aircraft procedure with nonuniform scaling

A method for presenting procedure information for a vertical profile of an action comprising a plurality of navigational segments on a display device, the method comprising:

• displaying a first navigational segment of the plurality of navigational segments with a vertical scale and a first horizontal scale, the first horizontal scale being based on a first distance associated with the first navigational segment and first horizontal display dimensions of the first navigational segment on the display device, the first distance being equal to a first ground distance between a first navigational reference point and a second navigational reference point defining the first navigational segment;
• and
• displaying a second navigational segment of the plurality of navigational segments with the vertical scale and a second horizontal scale, the second horizontal scale being based on a second distance associated with the second navigational segment and second horizontal display dimensions of the second navigational segment on the display device, the second distance being equal to a second ground distance between the second navigational reference point and a third navigational reference point defining the second navigational segment, wherein the first horizontal scale and the second horizontal scale are not equal and the first horizontal display dimensions and the second horizontal display dimensions are equal.

A method for presenting procedure information for an action between a first navigational reference point and a second navigational reference point on a display device associated with a vehicle, the method comprising:

• allocating equal horizontal display dimensions to a first navigational segment of a plurality of navigational segments of a vertical profile and a second navigational segment of the plurality of navigational segments in a piecewise linear manner;
• rendering a vertical profile for the action on the display device, wherein the vertical profile is rendered with a uniform vertical scale and a nonuniform horizontal scale, wherein rendering the vertical profile with the nonuniform horizontal scale comprises:
• rendering the first navigational segment with the uniform vertical scale and a first horizontal scale based on a first distance associated with the first navigational segment and the allocated horizontal display dimensions;
• and
• rendering the second navigational segment of the plurality of navigational segments with the uniform vertical scale and a second horizontal scale based on a second distance associated with the second navigational segment and the allocated horizontal dimensions, wherein the first horizontal scale and the second horizontal scale are not equal;
• and
• rendering a graphical representation of the vehicle on the display device within the vertical profile, wherein the graphical representation of the vehicle is positioned within the vertical profile based on the nonuniform horizontal scale and the uniform vertical scale such that the graphical representation of the vehicle accurately reflects an instantaneous position of the vehicle.