{"id":"vidhyamitra:city-day:rishikesh:2021-09-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-09-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-09-30","date_display":"September 30, 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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459487.770833,"kali_year":5123,"ahargana":1871022.2708,"sun":{"sidereal_longitude":162.1554,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":85.0239,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.8685,"elapsed_within_tithi_degrees":6.8685},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.0239,"elapsed_within_degrees":5.0239},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.1793},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2021,"month":9,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459487.770833,"ahargana":1871022.2708,"kali_year":5123,"ayanamsa_lahiri":24.1568,"grahas":{"sun":{"sidereal_longitude":162.95333800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":83.48463800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":2.9379},"mars":{"sidereal_longitude":165.28123800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":180.82773799999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":298.69413800000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":207.37383799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":282.85723800000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":44.2361,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":224.2361,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459487.770833,"kali_year":5123,"ahargana":1871022.2708,"sun":{"sidereal_longitude":162.1554,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":85.0239,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.8685,"elapsed_within_tithi_degrees":6.8685},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.0239,"elapsed_within_degrees":5.0239},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.1793},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.938,"elongation":77.131},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.938,"opposition_distance":102.869}},"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":"06:09","sunsetLocal":"18:03","solarNoonLocal":"12:06","dayLengthHours":11.9103487336698,"dayLengthDisplay":"11 Hours 54 Mins 37 Secs","nightLengthDisplay":"12 Hours 05 Mins 23 Secs","moonriseLocal":"23:50","moonsetLocal":"13:46","rahuKala":{"name":"Rāhu Kāla","start":"13:35","end":"15:05","startHours":13.590208986458965,"endHours":15.079002578167689,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:09","end":"07:38","startHours":6.14624102791534,"endHours":7.635034619624065,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:07","end":"10:37","startHours":9.123828211332789,"endHours":10.612621803041515,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:19","startHours":8.92532239910496,"endHours":9.32233402356062,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.642505558484915,"endHours":6.960114858049443,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:30","startHours":11.704403770294581,"endHours":12.4984270192059,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:21","startHours":4.558194530092701,"endHours":5.35221777900402,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:09","startHours":5.15371196677619,"endHours":6.14624102791534,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:53","startHours":14.08647351702854,"endHours":14.88049676593986,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.85658976158514,"endHours":18.25658976158514,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:33","startHours":18.05658976158514,"endHours":18.552854292154716,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.80658976158514,"endHours":19.55658976158514,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:30","startHours":23.70440377029458,"endHours":24.498427019205902,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:09","end":"07:38","startHours":6.14624102791534,"endHours":7.635034619624065,"quality":"auspicious"},{"name":"Roga","start":"07:38","end":"09:07","startHours":7.635034619624065,"endHours":9.123828211332789,"quality":"inauspicious"},{"name":"Udveg","start":"09:07","end":"10:37","startHours":9.123828211332789,"endHours":10.612621803041515,"quality":"inauspicious"},{"name":"Chala","start":"10:37","end":"12:06","startHours":10.612621803041515,"endHours":12.10141539475024,"quality":"neutral"},{"name":"Labha","start":"12:06","end":"13:35","startHours":12.10141539475024,"endHours":13.590208986458965,"quality":"auspicious"},{"name":"Amṛta","start":"13:35","end":"15:05","startHours":13.590208986458965,"endHours":15.079002578167689,"quality":"auspicious"},{"name":"Kāla","start":"15:05","end":"16:34","startHours":15.079002578167689,"endHours":16.567796169876416,"quality":"inauspicious"},{"name":"Śubha","start":"16:34","end":"18:03","startHours":16.567796169876416,"endHours":18.05658976158514,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:03","end":"19:34","startHours":18.05658976158514,"endHours":19.567796169876416,"quality":"auspicious"},{"name":"Kāla","start":"19:34","end":"21:05","startHours":19.567796169876416,"endHours":21.07900257816769,"quality":"inauspicious"},{"name":"Śubha","start":"21:05","end":"22:35","startHours":21.07900257816769,"endHours":22.590208986458965,"quality":"auspicious"},{"name":"Roga","start":"22:35","end":"00:06","startHours":22.590208986458965,"endHours":24.10141539475024,"quality":"inauspicious"},{"name":"Udveg","start":"00:06","end":"01:37","startHours":24.10141539475024,"endHours":25.612621803041517,"quality":"inauspicious"},{"name":"Chala","start":"01:37","end":"03:07","startHours":25.612621803041517,"endHours":27.123828211332793,"quality":"neutral"},{"name":"Labha","start":"03:07","end":"04:38","startHours":27.123828211332793,"endHours":28.635034619624065,"quality":"auspicious"},{"name":"Amṛta","start":"04:38","end":"06:09","startHours":28.635034619624065,"endHours":30.14624102791534,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.14624102791534,"endHours":7.14624102791534,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.14624102791534,"endHours":8.146241027915341,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.146241027915341,"endHours":9.146241027915341,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.146241027915341,"endHours":10.146241027915341,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.146241027915341,"endHours":11.146241027915341,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.146241027915341,"endHours":12.146241027915341,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.146241027915341,"endHours":13.146241027915341,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.146241027915341,"endHours":14.146241027915341,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.146241027915341,"endHours":15.146241027915341,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.146241027915341,"endHours":16.14624102791534,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.14624102791534,"endHours":17.14624102791534,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.14624102791534,"endHours":18.14624102791534,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.14624102791534,"endHours":19.14624102791534,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.14624102791534,"endHours":20.14624102791534,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.14624102791534,"endHours":21.14624102791534,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.14624102791534,"endHours":22.14624102791534,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.14624102791534,"endHours":23.14624102791534,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.14624102791534,"endHours":24.14624102791534,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.14624102791534,"endHours":25.14624102791534,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.14624102791534,"endHours":26.14624102791534,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.14624102791534,"endHours":27.14624102791534,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.14624102791534,"endHours":28.14624102791534,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.14624102791534,"endHours":29.14624102791534,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.14624102791534,"endHours":30.14624102791534,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-2.821820692872768,"eotMinutes":10.844676314985584,"ayanamsa":24.1568}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"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 Punarvasu","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 September 30, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"September 30, 2021 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 06:09, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-09-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-09-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-09-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-09-30","x-default":"https://vidhyamitra.com/city/rishikesh/2021-09-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T04:39:38.385Z","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":"2026-05-15T04:39:38.385Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T04:39:38.385Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}