{"id":"vidhyamitra:city-day:rishikesh:2021-03-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-03-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-03-15","date_display":"March 15, 2021 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":2021,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459288.770833,"kali_year":5122,"ahargana":1870823.2708,"sun":{"sidereal_longitude":330.6562,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":351.2743,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.6181,"elapsed_within_tithi_degrees":8.6181},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.2743,"elapsed_within_degrees":4.6077},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.9306},"karana":{"half_tithi_index":3,"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":2021,"month":3,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459288.770833,"ahargana":1870823.2708,"kali_year":5122,"ayanamsa_lahiri":24.1492,"grahas":{"sun":{"sidereal_longitude":330.52804100000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":348.672641,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-4.0266},"mars":{"sidereal_longitude":41.97544099999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":304.419441,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":295.57144100000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":327.423941,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":285.75704099999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":54.7801,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":234.7801,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2021,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459288.770833,"kali_year":5122,"ahargana":1870823.2708,"sun":{"sidereal_longitude":330.6562,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":351.2743,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.6181,"elapsed_within_tithi_degrees":8.6181},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.2743,"elapsed_within_degrees":4.6077},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.9306},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.027,"elongation":20.618},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.027,"opposition_distance":159.382}},"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":"06:28","sunsetLocal":"18:26","solarNoonLocal":"12:27","dayLengthHours":11.965027284666252,"dayLengthDisplay":"11 Hours 57 Mins 54 Secs","nightLengthDisplay":"12 Hours 02 Mins 06 Secs","moonriseLocal":"07:25","moonsetLocal":"19:54","rahuKala":{"name":"Rāhu Kāla","start":"07:57","end":"09:27","startHours":7.956121201804098,"endHours":9.45174961238738,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:57","end":"12:27","startHours":10.94737802297066,"endHours":12.443006433553943,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:26","startHours":13.938634844137223,"endHours":15.434263254720506,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:15","end":"09:39","startHours":9.252332490976276,"endHours":9.651166733798483,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:17","startHours":6.959035594748577,"endHours":7.278102989006343,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:51","startHours":12.044172190731734,"endHours":12.84184067637615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:52","end":"05:40","startHours":4.865155819931982,"endHours":5.662824305576399,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:28","startHours":5.463407184165296,"endHours":6.460492791220816,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.437177647664985,"endHours":15.234846133309402,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.22552007588707,"endHours":18.625520075887067,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:55","startHours":18.425520075887068,"endHours":18.92406287941483,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.175520075887068,"endHours":19.925520075887068,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:51","startHours":24.044172190731732,"endHours":24.841840676376147,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:28","end":"07:57","startHours":6.460492791220816,"endHours":7.956121201804098,"quality":"auspicious"},{"name":"Kāla","start":"07:57","end":"09:27","startHours":7.956121201804098,"endHours":9.45174961238738,"quality":"inauspicious"},{"name":"Śubha","start":"09:27","end":"10:57","startHours":9.45174961238738,"endHours":10.94737802297066,"quality":"auspicious"},{"name":"Roga","start":"10:57","end":"12:27","startHours":10.94737802297066,"endHours":12.443006433553943,"quality":"inauspicious"},{"name":"Udveg","start":"12:27","end":"13:56","startHours":12.443006433553943,"endHours":13.938634844137223,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:26","startHours":13.938634844137223,"endHours":15.434263254720506,"quality":"neutral"},{"name":"Labha","start":"15:26","end":"16:56","startHours":15.434263254720506,"endHours":16.92989166530379,"quality":"auspicious"},{"name":"Amṛta","start":"16:56","end":"18:26","startHours":16.92989166530379,"endHours":18.425520075887068,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:26","end":"19:56","startHours":18.425520075887068,"endHours":19.929891665303785,"quality":"neutral"},{"name":"Labha","start":"19:56","end":"21:26","startHours":19.929891665303785,"endHours":21.434263254720506,"quality":"auspicious"},{"name":"Amṛta","start":"21:26","end":"22:56","startHours":21.434263254720506,"endHours":22.938634844137223,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:27","startHours":22.938634844137223,"endHours":24.44300643355394,"quality":"inauspicious"},{"name":"Śubha","start":"00:27","end":"01:57","startHours":24.44300643355394,"endHours":25.94737802297066,"quality":"auspicious"},{"name":"Roga","start":"01:57","end":"03:27","startHours":25.94737802297066,"endHours":27.451749612387378,"quality":"inauspicious"},{"name":"Udveg","start":"03:27","end":"04:57","startHours":27.451749612387378,"endHours":28.956121201804095,"quality":"inauspicious"},{"name":"Chala","start":"04:57","end":"06:28","startHours":28.956121201804095,"endHours":30.460492791220815,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:28","end":"07:28","startHours":6.460492791220816,"endHours":7.460492791220816,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:28","end":"08:28","startHours":7.460492791220816,"endHours":8.460492791220815,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:28","end":"09:28","startHours":8.460492791220815,"endHours":9.460492791220815,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:28","end":"10:28","startHours":9.460492791220815,"endHours":10.460492791220815,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:28","end":"11:28","startHours":10.460492791220815,"endHours":11.460492791220815,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:28","end":"12:28","startHours":11.460492791220815,"endHours":12.460492791220815,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:28","end":"13:28","startHours":12.460492791220815,"endHours":13.460492791220815,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:28","end":"14:28","startHours":13.460492791220815,"endHours":14.460492791220815,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:28","end":"15:28","startHours":14.460492791220815,"endHours":15.460492791220815,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:28","end":"16:28","startHours":15.460492791220815,"endHours":16.460492791220815,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:28","end":"17:28","startHours":16.460492791220815,"endHours":17.460492791220815,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:28","end":"18:28","startHours":17.460492791220815,"endHours":18.460492791220815,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:28","end":"19:28","startHours":18.460492791220815,"endHours":19.460492791220815,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:28","end":"20:28","startHours":19.460492791220815,"endHours":20.460492791220815,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:28","end":"21:28","startHours":20.460492791220815,"endHours":21.460492791220815,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:28","end":"22:28","startHours":21.460492791220815,"endHours":22.460492791220815,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:28","end":"23:28","startHours":22.460492791220815,"endHours":23.460492791220815,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:28","end":"00:28","startHours":23.460492791220815,"endHours":24.460492791220815,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:28","end":"01:28","startHours":24.460492791220815,"endHours":25.460492791220815,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:28","end":"02:28","startHours":25.460492791220815,"endHours":26.460492791220815,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:28","end":"03:28","startHours":26.460492791220815,"endHours":27.460492791220815,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:28","end":"04:28","startHours":27.460492791220815,"endHours":28.460492791220815,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:28","end":"05:28","startHours":28.460492791220815,"endHours":29.460492791220815,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:28","end":"06:28","startHours":29.460492791220815,"endHours":30.460492791220815,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-2.1144701581435177,"eotMinutes":-9.650786013236482,"ayanamsa":24.1492}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Dvitīyā · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"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 March 15, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"March 15, 2021 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 06:28, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-03-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-03-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-03-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-03-15","x-default":"https://vidhyamitra.com/city/rishikesh/2021-03-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T08:19:52.773Z","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":"2026-05-15T08:19:52.773Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T08:19:52.773Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}