{"id":"vidhyamitra:city-day:rishikesh:2018-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2018-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2018-09-20","date_display":"September 20, 2018 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":2018,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458381.770833,"kali_year":5120,"ahargana":1869916.2708,"sun":{"sidereal_longitude":152.1496,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":274.2453,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.0957,"elapsed_within_tithi_degrees":2.0957},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.2453,"elapsed_within_degrees":7.5786},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.3949},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":2018,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458381.770833,"ahargana":1869916.2708,"kali_year":5120,"ayanamsa_lahiri":24.1145,"grahas":{"sun":{"sidereal_longitude":152.93089499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":276.42189499999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":0.6716},"mars":{"sidereal_longitude":277.802495,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":151.744395,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":205.91839499999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":192.29179499999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":248.467395,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":102.8373,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.8373,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"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":2018,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458381.770833,"kali_year":5120,"ahargana":1869916.2708,"sun":{"sidereal_longitude":152.1496,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":274.2453,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.0957,"elapsed_within_tithi_degrees":2.0957},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.2453,"elapsed_within_degrees":7.5786},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.3949},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.672,"elongation":122.096},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.672,"opposition_distance":57.904}},"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":"18:16","solarNoonLocal":"12:10","dayLengthHours":12.219172294170136,"dayLengthDisplay":"12 Hours 13 Mins 09 Secs","nightLengthDisplay":"11 Hours 46 Mins 51 Secs","moonriseLocal":"15:09","moonsetLocal":"01:38","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"15:13","startHours":13.687107957412028,"endHours":15.214504494183295,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:03","end":"07:35","startHours":6.050125273555693,"endHours":7.57752181032696,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:38","startHours":9.104918347098227,"endHours":10.632314883869494,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:19","startHours":8.901265475528724,"endHours":9.30857121866773,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.559257452479449,"endHours":6.885102046990653,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:34","startHours":11.752405677501757,"endHours":12.567017163779765,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:14","startHours":4.420902300999675,"endHours":5.235513787277684,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:03","startHours":5.031860915708182,"endHours":6.050125273555693,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"15:01","startHours":14.196240136335783,"endHours":15.010851622613792,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.06929756772583,"endHours":18.469297567725828,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:47","startHours":18.26929756772583,"endHours":18.778429746649586,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.01929756772583,"endHours":19.76929756772583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:34","startHours":23.752405677501756,"endHours":24.567017163779767,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:03","end":"07:35","startHours":6.050125273555693,"endHours":7.57752181032696,"quality":"auspicious"},{"name":"Roga","start":"07:35","end":"09:06","startHours":7.57752181032696,"endHours":9.104918347098227,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:38","startHours":9.104918347098227,"endHours":10.632314883869494,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:10","startHours":10.632314883869494,"endHours":12.159711420640761,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"13:41","startHours":12.159711420640761,"endHours":13.687107957412028,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"15:13","startHours":13.687107957412028,"endHours":15.214504494183295,"quality":"auspicious"},{"name":"Kāla","start":"15:13","end":"16:45","startHours":15.214504494183295,"endHours":16.741901030954562,"quality":"inauspicious"},{"name":"Śubha","start":"16:45","end":"18:16","startHours":16.741901030954562,"endHours":18.26929756772583,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:16","end":"19:45","startHours":18.26929756772583,"endHours":19.741901030954562,"quality":"auspicious"},{"name":"Kāla","start":"19:45","end":"21:13","startHours":19.741901030954562,"endHours":21.214504494183295,"quality":"inauspicious"},{"name":"Śubha","start":"21:13","end":"22:41","startHours":21.214504494183295,"endHours":22.687107957412028,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:10","startHours":22.687107957412028,"endHours":24.15971142064076,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:38","startHours":24.15971142064076,"endHours":25.632314883869494,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:06","startHours":25.632314883869494,"endHours":27.104918347098227,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:35","startHours":27.104918347098227,"endHours":28.57752181032696,"quality":"auspicious"},{"name":"Amṛta","start":"04:35","end":"06:03","startHours":28.57752181032696,"endHours":30.050125273555693,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.050125273555693,"endHours":7.050125273555693,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.050125273555693,"endHours":8.050125273555693,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.050125273555693,"endHours":9.050125273555693,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.050125273555693,"endHours":10.050125273555693,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.050125273555693,"endHours":11.050125273555693,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.050125273555693,"endHours":12.050125273555693,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.050125273555693,"endHours":13.050125273555693,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.050125273555693,"endHours":14.050125273555693,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.050125273555693,"endHours":15.050125273555693,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.050125273555693,"endHours":16.050125273555693,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.050125273555693,"endHours":17.050125273555693,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.050125273555693,"endHours":18.050125273555693,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.050125273555693,"endHours":19.050125273555693,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.050125273555693,"endHours":20.050125273555693,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.050125273555693,"endHours":21.050125273555693,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.050125273555693,"endHours":22.050125273555693,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.050125273555693,"endHours":23.050125273555693,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.050125273555693,"endHours":24.050125273555693,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.050125273555693,"endHours":25.050125273555693,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.050125273555693,"endHours":26.050125273555693,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.050125273555693,"endHours":27.050125273555693,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.050125273555693,"endHours":28.050125273555693,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.050125273555693,"endHours":29.050125273555693,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.050125273555693,"endHours":30.050125273555693,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":1.174703857643168,"eotMinutes":7.346914761554353,"ayanamsa":24.1145}},"calendars":{"vikram_samvat":2075,"vikram_samvatsara":"Virodhakṛt","saka_samvat":1940,"saka_samvatsara":"Vilambī","bengali_samvat":1425,"malayalam_era":1194,"nanakshahi_year":549,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ekādaśī · Vikram 2075 Virodhakṛt · Śaka 1940 Vilambī"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":4},{"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},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[]},"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 20, 2018 CE · Ṛṣikeśa · Vidhyamitra","description":"September 20, 2018 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 06:03, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2018-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2018-09-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2018-09-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2018-09-20","x-default":"https://vidhyamitra.com/city/rishikesh/2018-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:07:42.927Z","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":"2026-05-15T12:07:42.927Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:07:42.927Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}