{"id":"vidhyamitra:city-day:rishikesh:2085-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2085-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2085-05-15","date_display":"May 15, 2085 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2085,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482725.770833,"kali_year":5187,"ahargana":1894260.2708,"sun":{"sidereal_longitude":29.6933,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":278.7652,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.0718,"elapsed_within_tithi_degrees":9.0718},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.7652,"elapsed_within_degrees":12.0985},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.4585},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2085,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482725.770833,"ahargana":1894260.2708,"kali_year":5187,"ayanamsa_lahiri":25.0455,"grahas":{"sun":{"sidereal_longitude":29.907175999999993,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":279.7851760000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":1.9562},"mars":{"sidereal_longitude":83.62737600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":25.588476000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":77.51907599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":46.45117600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":347.177576,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":252.975,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":72.975,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2085,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482725.770833,"kali_year":5187,"ahargana":1894260.2708,"sun":{"sidereal_longitude":29.6933,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":278.7652,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.0718,"elapsed_within_tithi_degrees":9.0718},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.7652,"elapsed_within_degrees":12.0985},"yoga":{"number":24,"name":"Śukla","sum_longitude":308.4585},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.956,"elongation":110.928},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.956,"opposition_distance":69.072}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:23","sunsetLocal":"19:03","solarNoonLocal":"12:13","dayLengthHours":13.67337515532542,"dayLengthDisplay":"13 Hours 40 Mins 24 Secs","nightLengthDisplay":"10 Hours 19 Mins 36 Secs","moonriseLocal":"23:36","moonsetLocal":"10:09","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:21","startHours":15.637900439899255,"endHours":17.34707233431493,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:31","startHours":8.801212862236543,"endHours":10.510384756652222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:56","startHours":12.219556651067899,"endHours":13.928728545483576,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.573323276314454,"endHours":9.029102448158634,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.952593038210415,"endHours":6.317216375685759,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763777479223718,"endHours":12.67533582291208,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:28","startHours":3.5597523860284666,"endHours":4.471310729716827,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:23","startHours":4.243421143794738,"endHours":5.382869073405189,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.498452510288802,"endHours":15.410010853977163,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.85624422873061,"endHours":19.25624422873061,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:38","startHours":19.05624422873061,"endHours":19.625968193535837,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.80624422873061,"endHours":20.55624422873061,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763777479223716,"endHours":24.67533582291208,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:23","end":"07:06","startHours":5.382869073405189,"endHours":7.092040967820866,"quality":"inauspicious"},{"name":"Udveg","start":"07:06","end":"08:48","startHours":7.092040967820866,"endHours":8.801212862236543,"quality":"inauspicious"},{"name":"Chala","start":"08:48","end":"10:31","startHours":8.801212862236543,"endHours":10.510384756652222,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"12:13","startHours":10.510384756652222,"endHours":12.219556651067899,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:56","startHours":12.219556651067899,"endHours":13.928728545483576,"quality":"auspicious"},{"name":"Kāla","start":"13:56","end":"15:38","startHours":13.928728545483576,"endHours":15.637900439899255,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:21","startHours":15.637900439899255,"endHours":17.34707233431493,"quality":"auspicious"},{"name":"Roga","start":"17:21","end":"19:03","startHours":17.34707233431493,"endHours":19.05624422873061,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:03","end":"20:21","startHours":19.05624422873061,"endHours":20.34707233431493,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"21:38","startHours":20.34707233431493,"endHours":21.637900439899255,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"22:56","startHours":21.637900439899255,"endHours":22.928728545483576,"quality":"inauspicious"},{"name":"Udveg","start":"22:56","end":"00:13","startHours":22.928728545483576,"endHours":24.219556651067897,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:31","startHours":24.219556651067897,"endHours":25.510384756652222,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"02:48","startHours":25.510384756652222,"endHours":26.801212862236543,"quality":"auspicious"},{"name":"Amṛta","start":"02:48","end":"04:06","startHours":26.801212862236543,"endHours":28.092040967820864,"quality":"auspicious"},{"name":"Kāla","start":"04:06","end":"05:23","startHours":28.092040967820864,"endHours":29.38286907340519,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.382869073405189,"endHours":6.382869073405189,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.382869073405189,"endHours":7.382869073405189,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.382869073405189,"endHours":8.382869073405189,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.382869073405189,"endHours":9.382869073405189,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.382869073405189,"endHours":10.382869073405189,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.382869073405189,"endHours":11.382869073405189,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.382869073405189,"endHours":12.382869073405189,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.382869073405189,"endHours":13.382869073405189,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.382869073405189,"endHours":14.382869073405189,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.382869073405189,"endHours":15.382869073405189,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.382869073405189,"endHours":16.38286907340519,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.38286907340519,"endHours":17.38286907340519,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.38286907340519,"endHours":18.38286907340519,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.38286907340519,"endHours":19.38286907340519,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.38286907340519,"endHours":20.38286907340519,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.38286907340519,"endHours":21.38286907340519,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.38286907340519,"endHours":22.38286907340519,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.38286907340519,"endHours":23.38286907340519,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.38286907340519,"endHours":24.38286907340519,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.38286907340519,"endHours":25.38286907340519,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.38286907340519,"endHours":26.38286907340519,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.38286907340519,"endHours":27.38286907340519,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.38286907340519,"endHours":28.38286907340519,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.38286907340519,"endHours":29.38286907340519,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.002827909724846,"eotMinutes":3.7562009359260493,"ayanamsa":25.0455}},"calendars":{"vikram_samvat":2142,"vikram_samvatsara":"Kālayukta","saka_samvat":2007,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1492,"malayalam_era":1261,"nanakshahi_year":616,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ṣaṣṭhī · Vikram 2142 Kālayukta · Śaka 2007 Viśvāvasu"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 15, 2085 CE · Ṛṣikeśa · Vidhyamitra","description":"May 15, 2085 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:23, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2085-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2085-05-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2085-05-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2085-05-15","x-default":"https://vidhyamitra.com/city/rishikesh/2085-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:54:47.038Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-30T22:54:47.038Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:54:47.038Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}