Figure 2 is an expanded view of the infrared observations and includes error bars. The error bars represent the standard deviation of the measurements. The fainter observations (in black) with the larger error bars are J band. The brighter observations (in purple) with the smaller error bars are H band. The larger error bars in the J band observations are due to the fainter signal and thus a lower signal-to-noise ratio. The J band observations vary by approximately 0.5 magnitude and the H band observations vary by 0.3 magnitude.
To reduce the noise in figures 1 and 2, the observations are averaged in figure 3. To create each of the data points on the graph, the phases associated with two observations are averaged and the magnitudes are averaged using the standard deviation of the observations as weighting factors. The average phase represents the mid-point of two phase points; this is a mid-point running average. To cover the end points, that is, phase of zero and one, points are "wrapped" from higher and lower phase values to generate these two points. Using the standard deviation (error bars) as weights makes the curve more representative of the actual phase curve for the star.
So far, my literature search has revealed three papers, Welch, et. al., Hindley and Bell, and Barns III et. al. that have published J and H band photometry for eta Aql. Their phase curves are similar to what is presented here. There is one striking difference; the AAVSO phase curve has over 50 percent more observations than any of the previous papers. Once the AAVSO phase curve is published in the JAAVSO, it should be the definitive phase plot for this variable star. More observations are planned before eta Aql sets in the West to end this observation season. This will add more detail to the phase plot.
Eta Aql is just one of the stars being monitored in the AAVSO IR Photometry Program. Thanks to all the SSP-4 observers for their hard work and new SSP-4 observers are always welcome.
References:
Welch, D.L., Wieland, F., McAlary, C.W., McGonegal, R., Madore, B.F., McLaren, R.A., and Neugebauer, G., "JHK Observations of Classical Cepheids", The Astrophysical Journal Supplement Series, 54:547-579, 1984 April.
Hindsley, R.B., and Bell, R.A., "The Cepheid Infrared Period-Luminosity Relations", The Atrophysical Journal, 348: 673-681, 1990 January 10.
Barnes III, T.G., Fernley, J.A., Frueh, M.L., Navas, J.G., Moffett, T.J., and Skillen, I., "BVRIJHK Photometry of Cepheid Variables", Publications of the Astronomical Society of the Pcific, 109: 645-658, 1997 June.
West, D., Single Channel Infrared Photometry with a Small Telescope, WestSkies Observatory, Mulvane, Kansas, USA. Invited talk at the 1st Virtual Meeting on Amateur Astronomy. 2004.
Kukarkin, B.V., Kholopov, P.N., Pskovsky, Y.P., Efremov, Y.N., Kukarkina, N.P., Kurochkin, N.E., and Medvedeva, G.I.; "General Catalogue of Variable Stars", 3rd ed., 1971.