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Wheeled Robot Odometry Error Covariance Ellipse Calculator

Easily calculate and compute wheeled robot odometry error covariance ellipse calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
7.85 m

Semi-Major Error Ellipse Axis (2*sigma_a)

Semi-Major Error Ellipse Axis (2*sigma_a)

7.85 m

Semi Minor Error Axis Meters

0.63

Uncertainty Ellipse Area M2

15.59

Relative Drift Percentage

15.7

Wheelbase Track Width Meters

0.6

7.85 — m

Calculation Breakdown

  1. Applied FormulaModels dead-reckoning odometry drift accumulation over distance, computing the 95% confidence uncertainty covariance error ellipse major/minor axes and orientation angle.\Sigma_{k} = G_x \Sigma_{k-1} G_x^T + G_u \Sigma_u G_u^T, \quad a = 2\sqrt{\lambda_1}, \quad b = 2\sqrt{\lambda_2}

Robot Odometry Error Ellipse Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.03.95.97.8Semi-Major Error Ellipse Axis (2*sigma_a)

What Is the Wheeled Robot Odometry Error Covariance Ellipse Calculator?

This tool computes wheeled robot odometry error covariance ellipse calculator with high precision arithmetic.

How Does the Wheeled Robot Odometry Error Covariance Ellipse Calculator Work?

Models dead-reckoning odometry drift accumulation over distance, computing the 95% confidence uncertainty covariance error ellipse major/minor axes and orientation angle.

Wheeled Robot Odometry Error Covariance Ellipse Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Σk=GxΣk−1GxT+GuΣuGuT,a=2λ1,b=2λ2\Sigma_{k} = G_x \Sigma_{k-1} G_x^T + G_u \Sigma_u G_u^T, \quad a = 2\sqrt{\lambda_1}, \quad b = 2\sqrt{\lambda_2}

Models dead-reckoning odometry drift accumulation over distance, computing the 95% confidence uncertainty covariance error ellipse major/minor axes and orientation angle.

How to Use the Wheeled Robot Odometry Error Covariance Ellipse Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Wheeled Robot Odometry Error Covariance Ellipse Calculator Example

Input Values:

traveledDistanceMeters:50
wheelSlipNoiseFactorKr:0.002
headingAngularErrorStdDeg:4.5
wheelbaseTrackWidthMeters:0.6
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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