{"id":"vidhyamitra:city-day:rishikesh:2020-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2020-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-05-31","date_display":"May 31, 2020 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":2020,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459000.770833,"kali_year":5122,"ahargana":1870535.2708,"sun":{"sidereal_longitude":45.7577,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":149.8965,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.1388,"elapsed_within_tithi_degrees":8.1388},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":149.8965,"elapsed_within_degrees":3.2298},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.6541},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2020,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459000.770833,"ahargana":1870535.2708,"kali_year":5122,"ayanamsa_lahiri":24.1382,"grahas":{"sun":{"sidereal_longitude":45.92664500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":147.764045,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":4.4295},"mars":{"sidereal_longitude":317.64304500000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":68.670545,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":272.677145,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":51.49314500000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":277.47624500000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":70.0397,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.0397,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":2020,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459000.770833,"kali_year":5122,"ahargana":1870535.2708,"sun":{"sidereal_longitude":45.7577,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":149.8965,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":104.1388,"elapsed_within_tithi_degrees":8.1388},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":149.8965,"elapsed_within_degrees":3.2298},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.6541},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.43,"elongation":104.139},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.43,"opposition_distance":75.861}},"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":"05:16","sunsetLocal":"19:13","solarNoonLocal":"12:14","dayLengthHours":13.943631316928952,"dayLengthDisplay":"13 Hours 56 Mins 37 Secs","nightLengthDisplay":"10 Hours 03 Mins 23 Secs","moonriseLocal":"12:52","moonsetLocal":"01:12","rahuKala":{"name":"Rāhu Kāla","start":"17:28","end":"19:13","startHours":17.46936229787936,"endHours":19.21231621249548,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:59","startHours":12.240500554031005,"endHours":13.983454468647123,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:44","end":"17:28","startHours":15.726408383263243,"endHours":17.46936229787936,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:59","startHours":8.522198869516616,"endHours":8.986986580080915,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.849669533771901,"endHours":6.22149970222334,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:42","startHours":11.775712843466707,"endHours":12.705288264595303,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:25","end":"04:20","startHours":3.4095340533093346,"endHours":4.339109474437931,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:16","startHours":4.106715619155782,"endHours":5.268684895566528,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:30","startHours":14.564439106852497,"endHours":15.494014527981093,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.01231621249548,"endHours":19.41231621249548,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:48","startHours":19.21231621249548,"endHours":19.793300850700852,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.96231621249548,"endHours":20.71231621249548,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:42","startHours":23.775712843466707,"endHours":24.705288264595303,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:16","end":"07:01","startHours":5.268684895566528,"endHours":7.011638810182647,"quality":"inauspicious"},{"name":"Chala","start":"07:01","end":"08:45","startHours":7.011638810182647,"endHours":8.754592724798766,"quality":"neutral"},{"name":"Labha","start":"08:45","end":"10:30","startHours":8.754592724798766,"endHours":10.497546639414885,"quality":"auspicious"},{"name":"Amṛta","start":"10:30","end":"12:14","startHours":10.497546639414885,"endHours":12.240500554031005,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:59","startHours":12.240500554031005,"endHours":13.983454468647123,"quality":"inauspicious"},{"name":"Śubha","start":"13:59","end":"15:44","startHours":13.983454468647123,"endHours":15.726408383263243,"quality":"auspicious"},{"name":"Roga","start":"15:44","end":"17:28","startHours":15.726408383263243,"endHours":17.46936229787936,"quality":"inauspicious"},{"name":"Udveg","start":"17:28","end":"19:13","startHours":17.46936229787936,"endHours":19.21231621249548,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:13","end":"20:28","startHours":19.21231621249548,"endHours":20.46936229787936,"quality":"auspicious"},{"name":"Roga","start":"20:28","end":"21:44","startHours":20.46936229787936,"endHours":21.72640838326324,"quality":"inauspicious"},{"name":"Udveg","start":"21:44","end":"22:59","startHours":21.72640838326324,"endHours":22.983454468647125,"quality":"inauspicious"},{"name":"Chala","start":"22:59","end":"00:14","startHours":22.983454468647125,"endHours":24.240500554031005,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:30","startHours":24.240500554031005,"endHours":25.497546639414885,"quality":"auspicious"},{"name":"Amṛta","start":"01:30","end":"02:45","startHours":25.497546639414885,"endHours":26.754592724798766,"quality":"auspicious"},{"name":"Kāla","start":"02:45","end":"04:01","startHours":26.754592724798766,"endHours":28.011638810182646,"quality":"inauspicious"},{"name":"Śubha","start":"04:01","end":"05:16","startHours":28.011638810182646,"endHours":29.26868489556653,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.268684895566528,"endHours":6.268684895566528,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.268684895566528,"endHours":7.268684895566528,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.268684895566528,"endHours":8.268684895566528,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.268684895566528,"endHours":9.268684895566528,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.268684895566528,"endHours":10.268684895566528,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.268684895566528,"endHours":11.268684895566528,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.268684895566528,"endHours":12.268684895566528,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.268684895566528,"endHours":13.268684895566528,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.268684895566528,"endHours":14.268684895566528,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.268684895566528,"endHours":15.268684895566528,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.268684895566528,"endHours":16.26868489556653,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.26868489556653,"endHours":17.26868489556653,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.26868489556653,"endHours":18.26868489556653,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.26868489556653,"endHours":19.26868489556653,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.26868489556653,"endHours":20.26868489556653,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.26868489556653,"endHours":21.26868489556653,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.26868489556653,"endHours":22.26868489556653,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.26868489556653,"endHours":23.26868489556653,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.26868489556653,"endHours":24.26868489556653,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.26868489556653,"endHours":25.26868489556653,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.26868489556653,"endHours":26.26868489556653,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.26868489556653,"endHours":27.26868489556653,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.26868489556653,"endHours":28.26868489556653,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.26868489556653,"endHours":29.26868489556653,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.95634091055911,"eotMinutes":2.4995667581397525,"ayanamsa":24.1382}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Navamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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 31, 2020 CE · Ṛṣikeśa · Vidhyamitra","description":"May 31, 2020 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:16, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2020-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2020-05-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2020-05-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2020-05-31","x-default":"https://vidhyamitra.com/city/rishikesh/2020-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T00:44:53.000Z","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":"2026-05-15T00:44:53.000Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:44:53.000Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}