{"id":"vidhyamitra:city-day:rishikesh:1981-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1981-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-04-20","date_display":"April 20, 1981 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":1981,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444714.770833,"kali_year":5083,"ahargana":1856249.2708,"sun":{"sidereal_longitude":6.4437,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":195.9704,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.5266,"elapsed_within_tithi_degrees":9.5266},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.9704,"elapsed_within_degrees":9.3037},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.4141},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1981,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444714.770833,"ahargana":1856249.2708,"kali_year":5083,"ayanamsa_lahiri":23.5918,"grahas":{"sun":{"sidereal_longitude":6.290275000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":194.08927500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":4.4993},"mars":{"sidereal_longitude":2.6977749999999787,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":357.992075,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":159.03627500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":9.834675000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.85277500000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":106.9807,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":286.9807,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444714.770833,"kali_year":5083,"ahargana":1856249.2708,"sun":{"sidereal_longitude":6.4437,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":195.9704,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.5266,"elapsed_within_tithi_degrees":9.5266},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":195.9704,"elapsed_within_degrees":9.3037},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.4141},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":170.473},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":9.527}},"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":"05:45","sunsetLocal":"18:47","solarNoonLocal":"12:16","dayLengthHours":13.028865589183296,"dayLengthDisplay":"13 Hours 01 Mins 44 Secs","nightLengthDisplay":"10 Hours 58 Mins 16 Secs","moonriseLocal":"19:18","moonsetLocal":"06:17","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:01","startHours":7.380206012962251,"endHours":9.008814211610163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:16","startHours":10.637422410258075,"endHours":12.266030608905986,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:31","startHours":13.894638807553898,"endHours":15.52324700620181,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.79166645179044,"endHours":9.225961971429884,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.294467213863643,"endHours":6.641903629575198,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.831735089266543,"endHours":12.700326128545429,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.014415735756566,"endHours":4.883006775035453,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.665859015215731,"endHours":5.751597814314339,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.437508207103203,"endHours":15.30609924638209,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.580463403497635,"endHours":18.980463403497634,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:19","startHours":18.780463403497635,"endHours":19.323332803046938,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.530463403497635,"endHours":20.280463403497635,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.83173508926654,"endHours":24.70032612854543,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:23","startHours":5.751597814314339,"endHours":7.380206012962251,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:01","startHours":7.380206012962251,"endHours":9.008814211610163,"quality":"inauspicious"},{"name":"Śubha","start":"09:01","end":"10:38","startHours":9.008814211610163,"endHours":10.637422410258075,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:16","startHours":10.637422410258075,"endHours":12.266030608905986,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.894638807553898,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:31","startHours":13.894638807553898,"endHours":15.52324700620181,"quality":"neutral"},{"name":"Labha","start":"15:31","end":"17:09","startHours":15.52324700620181,"endHours":17.151855204849724,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:47","startHours":17.151855204849724,"endHours":18.780463403497635,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:47","end":"20:09","startHours":18.780463403497635,"endHours":20.151855204849724,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:31","startHours":20.151855204849724,"endHours":21.52324700620181,"quality":"auspicious"},{"name":"Amṛta","start":"21:31","end":"22:54","startHours":21.52324700620181,"endHours":22.8946388075539,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:16","startHours":22.8946388075539,"endHours":24.266030608905986,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:38","startHours":24.266030608905986,"endHours":25.637422410258075,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:01","startHours":25.637422410258075,"endHours":27.008814211610165,"quality":"inauspicious"},{"name":"Udveg","start":"03:01","end":"04:23","startHours":27.008814211610165,"endHours":28.38020601296225,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:45","startHours":28.38020601296225,"endHours":29.751597814314337,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.751597814314339,"endHours":6.751597814314339,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.751597814314339,"endHours":7.751597814314339,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.751597814314339,"endHours":8.751597814314339,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.751597814314339,"endHours":9.751597814314339,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.751597814314339,"endHours":10.751597814314339,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.751597814314339,"endHours":11.751597814314339,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.751597814314339,"endHours":12.751597814314339,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.751597814314339,"endHours":13.751597814314339,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.751597814314339,"endHours":14.751597814314339,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.751597814314339,"endHours":15.751597814314339,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.751597814314339,"endHours":16.751597814314337,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.751597814314337,"endHours":17.751597814314337,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.751597814314337,"endHours":18.751597814314337,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.751597814314337,"endHours":19.751597814314337,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.751597814314337,"endHours":20.751597814314337,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.751597814314337,"endHours":21.751597814314337,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.751597814314337,"endHours":22.751597814314337,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.751597814314337,"endHours":23.751597814314337,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.751597814314337,"endHours":24.751597814314337,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.751597814314337,"endHours":25.751597814314337,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.751597814314337,"endHours":26.751597814314337,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.751597814314337,"endHours":27.751597814314337,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.751597814314337,"endHours":28.751597814314337,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.751597814314337,"endHours":29.751597814314337,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","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":11.429198889898805,"eotMinutes":0.9677634656409275,"ayanamsa":23.5918}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Pratipada · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"narada-jayanti","name":"Bhagavān Nārada Jayantī","name_sanskrit":"भगवान् नारद जयन्ती","tradition":"Vaishnava","associated_deity":"Devarṣi Nārada (ādi-bhakta · Vyāsa's guru)","significance":"Manifestation of Devarṣi Nārada — ādi-bhakta and tri-loka-saṅcāri who instructed Vyāsa to compose Śrīmad Bhāgavata. Without Nārada, no Bhāgavata; without Bhāgavata, no Krishna-tattva-pratiṣṭhā in Kali Yuga. Falls on Vaiśākha Kṛṣṇa Pratipadā (day after Buddha Pūrṇimā).","vrata":true,"primary_observance":"Recitation of Nārada-Bhakti-Sūtra; meditation on Krishna as taught by Nārada to Vyāsa (Bhāgavata 1.5)","detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha"},"precedence":1,"sources":["Bhāgavata Purāṇa 1.5-6 (Nārada-Vyāsa-saṁvāda)","Nārada-Bhakti-Sūtra"]},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 April 20, 1981 CE · Ṛṣikeśa · Vidhyamitra","description":"April 20, 1981 CE for Ṛṣikeśa: Kṛṣṇa Pratipada, sūryodaya 05:45, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1981-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1981-04-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1981-04-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1981-04-20","x-default":"https://vidhyamitra.com/city/rishikesh/1981-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T22:20:50.191Z","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":"2026-05-18T22:20:50.191Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T22:20:50.191Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}