Solve declination and inclination from field components or angles. View horizontal and total intensity instantly. Download records for classwork, surveys, reports, and practice tasks.
| Case | Input Type | Input Values | Expected Output Focus |
|---|---|---|---|
| Example 1 | Components | X = 22000, Y = 1800, Z = 42000 | Declination, inclination, H, F |
| Example 2 | Angles + H | D = 5°, I = 61°, H = 25000 | X, Y, Z, total intensity |
| Example 3 | Angles + F | D = -3.5°, I = 57°, F = 47000 | X, Y, Z, horizontal intensity |
Horizontal intensity: H = √(X² + Y²)
Total intensity: F = √(H² + Z²) = √(X² + Y² + Z²)
Declination: D = atan2(Y, X)
Inclination: I = atan2(Z, H)
From D, I, and H: X = H cos(D), Y = H sin(D), Z = H tan(I)
From D, I, and F: H = F cos(I), Z = F sin(I), X = H cos(D), Y = H sin(D)
Positive declination means east of true north. Negative declination means west. Positive inclination means the magnetic field points downward.
Magnetic declination is the angle between true north and magnetic north. Magnetic inclination is the dip angle of the magnetic field below or above the horizontal plane. These values describe field direction. They also help explain how compass data relates to vector field measurements in physics, surveying, navigation, and geoscience work.
A magnetic field vector can be split into three parts. X is the north component. Y is the east component. Z is the vertical component. The calculator uses those parts to find horizontal intensity, total intensity, declination, and inclination. This makes vector interpretation much easier during analysis and reporting.
Students often record magnetic field components from instruments, sensors, or models. Researchers may compare measured data with theoretical values. Survey teams may also work from known angles and intensities. This tool helps convert between those forms quickly. It reduces manual trigonometric work and lowers common sign mistakes.
Positive declination means the horizontal field points east of true north. Negative declination means west. Positive inclination means the field points downward. A larger inclination usually means a steeper dip angle. Horizontal intensity shows field strength in the horizontal plane. Total intensity shows full vector magnitude.
This calculator does not predict real local geomagnetic values from coordinates and date. That job requires a geomagnetic reference model. Instead, this page calculates declination and inclination from values you already know. That makes it ideal for coursework, instrument checks, controlled examples, and physics practice sessions.
Magnetic declination is the angle between true north and magnetic north in the horizontal plane. It is positive to the east and negative to the west.
Magnetic inclination, also called dip, is the angle between the magnetic field vector and the horizontal plane. Positive values indicate a downward field direction.
No. Coordinate-based geomagnetic prediction needs a model such as a world magnetic reference dataset. This page calculates from entered vector or intensity values.
atan2 uses both X and Y signs, so it places the angle in the correct quadrant. That avoids ambiguity that appears with a basic tangent ratio.
Positive Z means the vertical magnetic component points downward. This is a common geophysical sign convention and is stated clearly in the form.
H is horizontal intensity only. F is total field intensity. F includes the vertical component, so it is always equal to or greater than H.
Yes. Choose radians in the angle unit menu. The tool still reports the final declination and inclination in both degrees and radians.
It is useful in physics classes, magnetics labs, instrumentation exercises, surveying checks, and any workflow that converts between magnetic vector components and field angles.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.