{"id":"vidhyamitra:city-day:rishikesh:1940-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1940-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1940-05-16","date_display":"May 16, 1940 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":1940,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429765.770833,"kali_year":5042,"ahargana":1841300.2708,"sun":{"sidereal_longitude":32.1075,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":139.744,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.6365,"elapsed_within_tithi_degrees":11.6365},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":139.744,"elapsed_within_degrees":6.4106},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":171.8515},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1940,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429765.770833,"ahargana":1841300.2708,"kali_year":5042,"ayanamsa_lahiri":23.02,"grahas":{"sun":{"sidereal_longitude":31.995537000000013,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":137.45833700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-2.8489},"mars":{"sidereal_longitude":66.78533700000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":25.72403700000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":7.599536999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":74.31643700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":14.445336999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":179.0507,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.0507,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1940,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429765.770833,"kali_year":5042,"ahargana":1841300.2708,"sun":{"sidereal_longitude":32.1075,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":139.744,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.6365,"elapsed_within_tithi_degrees":11.6365},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":139.744,"elapsed_within_degrees":6.4106},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":171.8515},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.849,"elongation":107.636},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.849,"opposition_distance":72.364}},"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":13.674731281280648,"dayLengthDisplay":"13 Hours 40 Mins 29 Secs","nightLengthDisplay":"10 Hours 19 Mins 31 Secs","moonriseLocal":"12:54","moonsetLocal":"01:36","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:38","startHours":13.929113827513625,"endHours":15.638455237673705,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:23","end":"07:06","startHours":5.3824067767132195,"endHours":7.091748186873301,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:48","end":"10:31","startHours":8.801089597033382,"endHours":10.510431007193462,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.573177409012038,"endHours":9.029001785054726,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.95218724676658,"endHours":6.316846747600731,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:41","startHours":11.763948041310854,"endHours":12.675596793396231,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:34","end":"04:28","startHours":3.5591092725424662,"endHours":4.470758024627843,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:15","end":"05:23","startHours":4.242845836606499,"endHours":5.3824067767132195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:25","startHours":14.498894297566984,"endHours":15.410543049652361,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.85713805799387,"endHours":19.257138057993867,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:38","startHours":19.057138057993868,"endHours":19.626918528047227,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.807138057993868,"endHours":20.557138057993868,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:41","startHours":23.763948041310854,"endHours":24.67559679339623,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:23","end":"07:06","startHours":5.3824067767132195,"endHours":7.091748186873301,"quality":"auspicious"},{"name":"Roga","start":"07:06","end":"08:48","startHours":7.091748186873301,"endHours":8.801089597033382,"quality":"inauspicious"},{"name":"Udveg","start":"08:48","end":"10:31","startHours":8.801089597033382,"endHours":10.510431007193462,"quality":"inauspicious"},{"name":"Chala","start":"10:31","end":"12:13","startHours":10.510431007193462,"endHours":12.219772417353543,"quality":"neutral"},{"name":"Labha","start":"12:13","end":"13:56","startHours":12.219772417353543,"endHours":13.929113827513625,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:38","startHours":13.929113827513625,"endHours":15.638455237673705,"quality":"auspicious"},{"name":"Kāla","start":"15:38","end":"17:21","startHours":15.638455237673705,"endHours":17.34779664783379,"quality":"inauspicious"},{"name":"Śubha","start":"17:21","end":"19:03","startHours":17.34779664783379,"endHours":19.057138057993868,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:03","end":"20:21","startHours":19.057138057993868,"endHours":20.347796647833785,"quality":"auspicious"},{"name":"Kāla","start":"20:21","end":"21:38","startHours":20.347796647833785,"endHours":21.638455237673707,"quality":"inauspicious"},{"name":"Śubha","start":"21:38","end":"22:56","startHours":21.638455237673707,"endHours":22.929113827513625,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:13","startHours":22.929113827513625,"endHours":24.219772417353543,"quality":"inauspicious"},{"name":"Udveg","start":"00:13","end":"01:31","startHours":24.219772417353543,"endHours":25.51043100719346,"quality":"inauspicious"},{"name":"Chala","start":"01:31","end":"02:48","startHours":25.51043100719346,"endHours":26.801089597033382,"quality":"neutral"},{"name":"Labha","start":"02:48","end":"04:06","startHours":26.801089597033382,"endHours":28.0917481868733,"quality":"auspicious"},{"name":"Amṛta","start":"04:06","end":"05:23","startHours":28.0917481868733,"endHours":29.382406776713218,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.3824067767132195,"endHours":6.3824067767132195,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.3824067767132195,"endHours":7.3824067767132195,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.3824067767132195,"endHours":8.38240677671322,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.38240677671322,"endHours":9.38240677671322,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.38240677671322,"endHours":10.38240677671322,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.38240677671322,"endHours":11.38240677671322,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.38240677671322,"endHours":12.38240677671322,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.38240677671322,"endHours":13.38240677671322,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.38240677671322,"endHours":14.38240677671322,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.38240677671322,"endHours":15.38240677671322,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.38240677671322,"endHours":16.382406776713218,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.382406776713218,"endHours":17.382406776713218,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.382406776713218,"endHours":18.382406776713218,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.382406776713218,"endHours":19.382406776713218,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.382406776713218,"endHours":20.382406776713218,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.382406776713218,"endHours":21.382406776713218,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.382406776713218,"endHours":22.382406776713218,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.382406776713218,"endHours":23.382406776713218,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.382406776713218,"endHours":24.382406776713218,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.382406776713218,"endHours":25.382406776713218,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.382406776713218,"endHours":26.382406776713218,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.382406776713218,"endHours":27.382406776713218,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.382406776713218,"endHours":28.382406776713218,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.382406776713218,"endHours":29.382406776713218,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.018001652859336,"eotMinutes":3.743254958787478,"ayanamsa":23.02}},"calendars":{"vikram_samvat":1997,"vikram_samvatsara":"Vijaya","saka_samvat":1862,"saka_samvatsara":"Vikrama","bengali_samvat":1347,"malayalam_era":1116,"nanakshahi_year":471,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Navamī · Vikram 1997 Vijaya · Śaka 1862 Vikrama"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 16, 1940 CE · Ṛṣikeśa · Vidhyamitra","description":"May 16, 1940 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:23, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1940-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1940-05-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/1940-05-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/1940-05-16","x-default":"https://vidhyamitra.com/city/rishikesh/1940-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T14:58:19.057Z","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":"2026-05-24T14:58:19.057Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T14:58:19.057Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}