Determining the Dimensions of the Heliosphere from the Time-Correlation of IBEX ENA Observations with Variations in the Solar Wind Dynamic Pressure

The IBEX mission has shown that variations in the ENA flux from the outer heliosphere are associated with the solar cycle. In particular, there is a good correlation between the dynamic pressure of the outbound solar wind and variations in the observed IBEX ENA flux (McComas et al, 2017; Reisenfeld et al., 2016). There is, of course, a time difference between observations of the outbound SW and the heliospheric ENAs with which they correlate, ranging from approximately two to four years, depending on ENA energy and look direction. In this study, we use this time difference as a means of "sounding" the heliosheath, that is, finding the average distance to the ENA source region in a particular direction. We use data from the first seven years of the IBEX mission. As each point in the sky is sampled once every six months, this gives us a time series of 14 points per look direction on which to time correlate. Fluxes are transformed from the spacecraft frame into a heliospheric inertial frame to remove the effects of spacecraft/Earth motion. Fluxes are also corrected for ENA extinction due to charge exchange. To improve statistics, we divide the sky into "macropixels" spanning 30 degrees in longitude and varying ranges of latitude to maintain comparable counting statistics per pixel. In calculating the response time, we account for the varying speed of the outbound solar wind by using a time and latitude dependent set of solar wind speeds derived from interplanetary scintillation data (Sokol et al. 2015). Consistent with heliospheric models, we determine the shortest distance to the heliopause is in the nose direction, with a flaring toward the flanks and poles.