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Implement Section Lateral Offset Rotation Term Tool

Rotate supplied forward/right offsets using a clockwise-from-north heading.

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Description

Rotate supplied forward/right offsets using a clockwise-from-north heading.

Precision-agriculture measurements combine spatial cells, sensor clocks, travel speeds, band signals, and application records. A correction or weighted share is meaningful only when coordinate frames, units, timestamps, and coverage bases agree. Supplied calibration and support flags remain distinct from measurements that establish them.

Rotate supplied forward/right offsets using a clockwise-from-north heading.

When to use this tool

Use Implement Section Lateral Offset Rotation Term when you have the stated field, sensor, map, or application records and need this correction or geometric/accounting component.

How to use the tool and how it works

  1. Enter forwardOffset, lateralOffset, headingRadians. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read eastOffset, northOffset. Use the output convention below.

Return eastOffset=forwardOffset*sin(headingRadians)+lateralOffset*cos(headingRadians) and northOffset=forwardOffset*cos(headingRadians)-lateralOffset*sin(headingRadians).1

Input fieldMeaning and unitsAccepted input
forwardOffsetForward OffsetRequired. Finite number.
lateralOffsetLateral OffsetRequired. Finite number.
headingRadiansRadians clockwise from north; positive lateral is east at zero heading.Required. Finite number.
Output fieldInterpretationReturned shape
eastOffsetEast OffsetRequired. Finite number.
northOffsetNorth OffsetRequired. Finite number.
json
{
  "input": {
    "forwardOffset": 2,
    "lateralOffset": 3,
    "headingRadians": 0
  },
  "output": {
    "eastOffset": 3,
    "northOffset": 2
  }
}

Limitations and assumptions

  • Heading is in radians from north toward east. At heading zero, positive lateral is east; use consistent length units. The tool does not infer coordinate frames, terrain tilt, or lever-arm calibration.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.

Alternative or Complementary methods

Verify the measurement calibration, coordinate frame, spatial support, and clock convention before combining this term into a map or control workflow. Use a complete equipment or field model when geometric and operating constraints matter.

References

  1. Calculation and input contract: precision-agriculture/implement-section-lateral-offset-rotation-term — tool.io

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