{"id":"vidhyamitra:city-day:rishikesh:2159-09-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2159-09-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-09-21","date_display":"September 21, 2159 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":2159,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509881.770833,"kali_year":5261,"ahargana":1921416.2708,"sun":{"sidereal_longitude":150.7023,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":256.6508,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.9485,"elapsed_within_tithi_degrees":9.9485},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.6508,"elapsed_within_degrees":3.3175},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.3531},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2159,"month":9,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509881.770833,"ahargana":1921416.2708,"kali_year":5261,"ayanamsa_lahiri":26.0842,"grahas":{"sun":{"sidereal_longitude":151.82401700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":257.743517,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.1985},"mars":{"sidereal_longitude":252.23371699999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":176.03981699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":171.07751699999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":103.71151700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":179.777917,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":254.1195,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":74.1195,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509881.770833,"kali_year":5261,"ahargana":1921416.2708,"sun":{"sidereal_longitude":150.7023,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":256.6508,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.9485,"elapsed_within_tithi_degrees":9.9485},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1,"moon_longitude":256.6508,"elapsed_within_degrees":3.3175},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.3531},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.199,"elongation":105.948},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.199,"opposition_distance":74.052}},"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":"06:03","sunsetLocal":"18:15","solarNoonLocal":"12:09","dayLengthHours":12.1926528143652,"dayLengthDisplay":"12 Hours 11 Mins 34 Secs","nightLengthDisplay":"11 Hours 48 Mins 26 Secs","moonriseLocal":"14:06","moonsetLocal":"00:20","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:09","startHours":10.629536274825409,"endHours":12.153617876621059,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:12","end":"16:44","startHours":15.201781080212356,"endHours":16.725862682008007,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:35","end":"09:06","startHours":7.581373071234108,"endHours":9.105454673029758,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:19","startHours":8.902243792790339,"endHours":9.308665553269178,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.5653186700370085,"endHours":6.890456078420081,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:34","startHours":11.747196116142216,"endHours":12.560039637099898,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:15","startHours":4.431604427523098,"endHours":5.244447948480778,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:03","startHours":5.041237068241358,"endHours":6.057291469438458,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"15:00","startHours":14.185726679015257,"endHours":14.998570199972937,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:03","end":"18:27","startHours":18.049944283803658,"endHours":18.449944283803656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:15","end":"18:45","startHours":18.249944283803657,"endHours":18.75797148440221,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:00","end":"19:45","startHours":17.999944283803657,"endHours":19.749944283803657,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:34","startHours":23.747196116142216,"endHours":24.560039637099894,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:03","end":"07:35","startHours":6.057291469438458,"endHours":7.581373071234108,"quality":"neutral"},{"name":"Labha","start":"07:35","end":"09:06","startHours":7.581373071234108,"endHours":9.105454673029758,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:38","startHours":9.105454673029758,"endHours":10.629536274825409,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:09","startHours":10.629536274825409,"endHours":12.153617876621059,"quality":"inauspicious"},{"name":"Śubha","start":"12:09","end":"13:41","startHours":12.153617876621059,"endHours":13.67769947841671,"quality":"auspicious"},{"name":"Roga","start":"13:41","end":"15:12","startHours":13.67769947841671,"endHours":15.201781080212356,"quality":"inauspicious"},{"name":"Udveg","start":"15:12","end":"16:44","startHours":15.201781080212356,"endHours":16.725862682008007,"quality":"inauspicious"},{"name":"Chala","start":"16:44","end":"18:15","startHours":16.725862682008007,"endHours":18.249944283803657,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:15","end":"19:44","startHours":18.249944283803657,"endHours":19.725862682008007,"quality":"inauspicious"},{"name":"Udveg","start":"19:44","end":"21:12","startHours":19.725862682008007,"endHours":21.201781080212356,"quality":"inauspicious"},{"name":"Chala","start":"21:12","end":"22:41","startHours":21.201781080212356,"endHours":22.677699478416706,"quality":"neutral"},{"name":"Labha","start":"22:41","end":"00:09","startHours":22.677699478416706,"endHours":24.153617876621055,"quality":"auspicious"},{"name":"Amṛta","start":"00:09","end":"01:38","startHours":24.153617876621055,"endHours":25.629536274825405,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:06","startHours":25.629536274825405,"endHours":27.105454673029758,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:35","startHours":27.105454673029758,"endHours":28.581373071234108,"quality":"auspicious"},{"name":"Roga","start":"04:35","end":"06:03","startHours":28.581373071234108,"endHours":30.057291469438457,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.057291469438458,"endHours":7.057291469438458,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.057291469438458,"endHours":8.057291469438457,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.057291469438457,"endHours":9.057291469438457,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.057291469438457,"endHours":10.057291469438457,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.057291469438457,"endHours":11.057291469438457,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.057291469438457,"endHours":12.057291469438457,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.057291469438457,"endHours":13.057291469438457,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.057291469438457,"endHours":14.057291469438457,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.057291469438457,"endHours":15.057291469438457,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.057291469438457,"endHours":16.057291469438457,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.057291469438457,"endHours":17.057291469438457,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.057291469438457,"endHours":18.057291469438457,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.057291469438457,"endHours":19.057291469438457,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.057291469438457,"endHours":20.057291469438457,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.057291469438457,"endHours":21.057291469438457,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.057291469438457,"endHours":22.057291469438457,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.057291469438457,"endHours":23.057291469438457,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.057291469438457,"endHours":24.057291469438457,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.057291469438457,"endHours":25.057291469438457,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.057291469438457,"endHours":26.057291469438457,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.057291469438457,"endHours":27.057291469438457,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.057291469438457,"endHours":28.057291469438457,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.057291469438457,"endHours":29.057291469438457,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.057291469438457,"endHours":30.057291469438457,"planetary_lord":"Mars"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":0.8318144149388317,"eotMinutes":7.712527402736593,"ayanamsa":26.0842}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1},{"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":"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":"-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 September 21, 2159 CE · Ṛṣikeśa · Vidhyamitra","description":"September 21, 2159 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 06:03, sūryāsta 18:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2159-09-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2159-09-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2159-09-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2159-09-21","x-default":"https://vidhyamitra.com/city/rishikesh/2159-09-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T02:26:13.208Z","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":"2026-05-27T02:26:13.208Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T02:26:13.208Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}