How to Use This Calculator
Enter two critical measurements: the deceased's rectal body temperature (measured in degrees Fahrenheit) and the ambient temperature of the location where the body was discovered. The calculator returns the estimated time elapsed since death in hours.
Normal body temperature at death is approximately 98.6°F. As the corpse cools toward environmental temperature, the rate of heat loss depends heavily on ambient conditions. The surrounding temperature acts as a boundary condition—a cold environment accelerates cooling, while a warm one slows it. This relationship is quantified through a temperature-dependent adjustment factor built into the equation.
The method works in reverse as well: if you know the time interval and current body temperature, you can solve for ambient conditions or verify investigative findings.
Algor Mortis Equation
The temperature-based method calculates time elapsed by measuring the body's deviation from normal post-mortem temperature and normalizing for environmental heat transfer. The adjustment factor accounts for accelerated cooling in cold environments versus slower cooling in warm ones.
Time since death = (98.6 − Body temperature) / T
where T = 1.5 if ambient temperature < 32°F (0°C)
and T = 0.75 if ambient temperature ≥ 32°F (0°C)
Body temperature— Rectal body temperature in Fahrenheit; normal at death is 98.6°FAmbient temperature— The air temperature of the environment where the body was foundT— Temperature-dependent cooling factor; 1.5 for cold environments below freezing, 0.75 for warmer conditions
Understanding Rigor Mortis as a Corroborating Method
Rigor mortis—the postmortem stiffening of skeletal muscles—develops when cells exhaust their supply of adenosine triphosphate (ATP), the energy molecule that allows actin-myosin filaments to unbind and muscle fibres to relax. Without ATP, cross-bridges lock in place, creating rigid contraction across the body.
The progression follows a predictable timeline:
- 2 hours post-death: Rigor begins, typically in facial and neck muscles
- 6–8 hours: Stiffness progresses downward through the torso and limbs
- 12 hours: Full rigor typically established throughout the body
- 24 hours: Gradual relaxation begins as decomposition processes override rigor
- 36 hours: Complete disappearance of rigor
Rigor mortis can carry investigative significance—for instance, if a weapon remains gripped in the deceased's hand while rigor is present, it suggests the person held the object at or near the time of death. However, it cannot pinpoint the exact moment of death and is influenced by physical condition, activity level at death, and environmental temperature, making it less precise than algor mortis for quantitative estimates.
Critical Limitations and Practical Considerations
Forensic time-of-death estimates carry inherent uncertainty and should always be used alongside other evidence.
- Rectal temperature must be measured accurately — Surface temperature readings are unreliable due to rapid initial cooling. Forensic protocols mandate rectal measurement with a calibrated thermometer inserted to proper depth. Incorrect technique can introduce errors of several hours into your calculation.
- Environmental temperature changes complicate estimates — If the body was moved between locations or if ambient temperature fluctuated during decomposition, the simple two-point temperature model breaks down. Temperature variations over time require more sophisticated mathematical integration, not a single snapshot reading.
- Individual biological factors introduce variance — Body mass, percentage of body fat, clothing, and activity level at death all affect cooling rates. A muscular individual in a cold environment may cool faster than a obese individual in the same conditions. The equations provide population averages, not personalized accuracy.
- The method is most reliable within the first 24 hours — As time progresses and the body approaches ambient temperature, the relative difference shrinks and measurement error becomes proportionally larger. Estimates beyond 48 hours have substantially reduced precision and should be treated with considerable caution.
Other Postmortem Changes and Their Timeline
Forensic pathologists assess multiple postmortem phenomena in combination to triangulate time of death:
- Pallor mortis: Blanching and paleness of the skin, beginning within 15–30 minutes due to blood settling in dependent areas
- Livor mortis: Dark purple-red discoloration in areas where blood pools under gravity, visible within 30 minutes and fully established by 8–12 hours
- Algor mortis: Progressive cooling (the basis of this calculator) occurring most rapidly in the first 12 hours
- Putrefaction: Early decomposition signs (greenish discoloration, bloating) emerging after 24–48 hours depending on temperature
- Skeletonization: Soft tissue loss and bone exposure, variable from weeks to years based on environmental conditions
Temperature, humidity, insect activity, clothing, and body position all modulate these processes, which is why forensic investigation relies on multiple independent lines of evidence rather than any single marker.