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That would be great if someone has the understanding to make an app for it. It would pair well with the Run app.
This article describes a formula to get the calories burned. You're right about the metrics of steps, heart rate, height and weight all being key to calculating the total. Even if it's not ultra precise, having even a general idea of how many calories burned would be great.
https://www.verywellfit.com/how-many-calories-you-burn-during-exercise-4111064
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This looks excellent and a believable answer is all I'm looking for. From what I've seen, all the mainstream trackers like Fitbit etc give varied results for calculating this so it doesn't need to be that precise. This looks like a great start to the math! Thanks for indulging the idea and drawing up some calculations.