{"id":"vidhyamitra:city-day:rishikesh:1972-04-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1972-04-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-04-21","date_display":"April 21, 1972 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":1972,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441428.770833,"kali_year":5074,"ahargana":1852963.2708,"sun":{"sidereal_longitude":7.7351,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":100.7016,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.9665,"elapsed_within_tithi_degrees":8.9665},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.7016,"elapsed_within_degrees":7.3683},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.4367},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1972,"month":4,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441428.770833,"ahargana":1852963.2708,"kali_year":5074,"ayanamsa_lahiri":23.4661,"grahas":{"sun":{"sidereal_longitude":7.566525000000013,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":103.61372499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":0.0304},"mars":{"sidereal_longitude":53.06662499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":342.55852500000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":255.47092499999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":53.052925000000016,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":41.75652500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":281.0888,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":101.0888,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":1972,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441428.770833,"kali_year":5074,"ahargana":1852963.2708,"sun":{"sidereal_longitude":7.7351,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":100.7016,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":92.9665,"elapsed_within_tithi_degrees":8.9665},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":100.7016,"elapsed_within_degrees":7.3683},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.4367},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.03,"elongation":92.967},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.03,"opposition_distance":87.033}},"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":"05:44","sunsetLocal":"18:48","solarNoonLocal":"12:16","dayLengthHours":13.061791719756997,"dayLengthDisplay":"13 Hours 03 Mins 42 Secs","nightLengthDisplay":"10 Hours 56 Mins 18 Secs","moonriseLocal":"11:52","moonsetLocal":"01:28","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:16","startHours":10.629647221011005,"endHours":12.26237118598063,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:32","end":"17:10","startHours":15.527819115919879,"endHours":17.160543080889504,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"09:00","startHours":7.364199291071757,"endHours":8.99692325604138,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.779226727378765,"endHours":9.214619784703999,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:37","startHours":6.275716647758674,"endHours":6.624031093618861,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.826978128655396,"endHours":12.697764243305864,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:52","startHours":3.9899030968012,"endHours":4.860689211451666,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:44","startHours":4.64299268278905,"endHours":5.7314753261021325,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:19","startHours":14.439336472606797,"endHours":15.310122587257263,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.59326704585913,"endHours":18.993267045859128,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:20","startHours":18.793267045859128,"endHours":19.33750836751567,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.543267045859128,"endHours":20.293267045859128,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.826978128655398,"endHours":24.697764243305862,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:44","end":"07:22","startHours":5.7314753261021325,"endHours":7.364199291071757,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"09:00","startHours":7.364199291071757,"endHours":8.99692325604138,"quality":"auspicious"},{"name":"Amṛta","start":"09:00","end":"10:38","startHours":8.99692325604138,"endHours":10.629647221011005,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:16","startHours":10.629647221011005,"endHours":12.26237118598063,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:54","startHours":12.26237118598063,"endHours":13.895095150950254,"quality":"auspicious"},{"name":"Roga","start":"13:54","end":"15:32","startHours":13.895095150950254,"endHours":15.527819115919879,"quality":"inauspicious"},{"name":"Udveg","start":"15:32","end":"17:10","startHours":15.527819115919879,"endHours":17.160543080889504,"quality":"inauspicious"},{"name":"Chala","start":"17:10","end":"18:48","startHours":17.160543080889504,"endHours":18.793267045859128,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:48","end":"20:10","startHours":18.793267045859128,"endHours":20.160543080889504,"quality":"inauspicious"},{"name":"Udveg","start":"20:10","end":"21:32","startHours":20.160543080889504,"endHours":21.52781911591988,"quality":"inauspicious"},{"name":"Chala","start":"21:32","end":"22:54","startHours":21.52781911591988,"endHours":22.895095150950254,"quality":"neutral"},{"name":"Labha","start":"22:54","end":"00:16","startHours":22.895095150950254,"endHours":24.26237118598063,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:38","startHours":24.26237118598063,"endHours":25.629647221011005,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:00","startHours":25.629647221011005,"endHours":26.99692325604138,"quality":"inauspicious"},{"name":"Śubha","start":"03:00","end":"04:22","startHours":26.99692325604138,"endHours":28.364199291071756,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:44","startHours":28.364199291071756,"endHours":29.73147532610213,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.7314753261021325,"endHours":6.7314753261021325,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.7314753261021325,"endHours":7.7314753261021325,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.7314753261021325,"endHours":8.731475326102132,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.731475326102132,"endHours":9.731475326102132,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.731475326102132,"endHours":10.731475326102132,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.731475326102132,"endHours":11.731475326102132,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.731475326102132,"endHours":12.731475326102132,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.731475326102132,"endHours":13.731475326102132,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.731475326102132,"endHours":14.731475326102132,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.731475326102132,"endHours":15.731475326102132,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.731475326102132,"endHours":16.73147532610213,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.73147532610213,"endHours":17.73147532610213,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.73147532610213,"endHours":18.73147532610213,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.73147532610213,"endHours":19.73147532610213,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.73147532610213,"endHours":20.73147532610213,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.73147532610213,"endHours":21.73147532610213,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.73147532610213,"endHours":22.73147532610213,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.73147532610213,"endHours":23.73147532610213,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.73147532610213,"endHours":24.73147532610213,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.73147532610213,"endHours":25.73147532610213,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.73147532610213,"endHours":26.73147532610213,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.73147532610213,"endHours":27.73147532610213,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.73147532610213,"endHours":28.73147532610213,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.73147532610213,"endHours":29.73147532610213,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","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":11.831925752512797,"eotMinutes":1.1873288411622274,"ayanamsa":23.4661}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha (Adhika) Śukla Aṣṭamī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 April 21, 1972 CE · Ṛṣikeśa · Vidhyamitra","description":"April 21, 1972 CE for Ṛṣikeśa: Śukla Aṣṭamī, sūryodaya 05:44, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1972-04-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1972-04-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/1972-04-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/1972-04-21","x-default":"https://vidhyamitra.com/city/rishikesh/1972-04-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:26:50.920Z","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":"2026-06-01T06:26:50.920Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:26:50.920Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}