{"id":"vidhyamitra:city-day:rishikesh:2001-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2001-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-10-13","date_display":"October 13, 2001 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":2001,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452195.770833,"kali_year":5103,"ahargana":1863730.2708,"sun":{"sidereal_longitude":175.1563,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":125.668,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.5116,"elapsed_within_tithi_degrees":10.5116},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.668,"elapsed_within_degrees":5.668},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.8243},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2001,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452195.770833,"ahargana":1863730.2708,"kali_year":5103,"ayanamsa_lahiri":23.8779,"grahas":{"sun":{"sidereal_longitude":175.898146,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":123.65704600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":3.6879},"mars":{"sidereal_longitude":266.30954599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":178.35884599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":81.03224599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":153.10154599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":50.78074600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":70.6014,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.6014,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2001,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452195.770833,"kali_year":5103,"ahargana":1863730.2708,"sun":{"sidereal_longitude":175.1563,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":125.668,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.5116,"elapsed_within_tithi_degrees":10.5116},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.668,"elapsed_within_degrees":5.668},"yoga":{"number":23,"name":"Śubha","sum_longitude":300.8243},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.688,"elongation":49.488},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.688,"opposition_distance":130.512}},"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":"06:17","sunsetLocal":"17:48","solarNoonLocal":"12:02","dayLengthHours":11.528145461867728,"dayLengthDisplay":"11 Hours 31 Mins 41 Secs","nightLengthDisplay":"12 Hours 28 Mins 19 Secs","moonriseLocal":"02:02","moonsetLocal":"15:05","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:36","startHours":9.159416481065147,"endHours":10.600434663798612,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:29","end":"14:55","startHours":13.482471029265545,"endHours":14.92348921199901,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:17","end":"07:43","startHours":6.2773801155982145,"endHours":7.718398298331681,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.96728072336735,"endHours":9.351552238762942,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:04","startHours":6.757719509842703,"endHours":7.065136722159176,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:26","startHours":11.657181331136487,"endHours":12.425724361927669,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:44","end":"05:31","startHours":4.740294054015851,"endHours":5.508837084807032,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:17","startHours":5.316701327109238,"endHours":6.2773801155982145,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:44","startHours":13.962810423510033,"endHours":14.731353454301216,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.605525577465944,"endHours":18.005525577465942,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:17","startHours":17.805525577465943,"endHours":18.28586497171043,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.555525577465943,"endHours":19.305525577465943,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:26","startHours":23.65718133113649,"endHours":24.425724361927667,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:17","end":"07:43","startHours":6.2773801155982145,"endHours":7.718398298331681,"quality":"inauspicious"},{"name":"Śubha","start":"07:43","end":"09:10","startHours":7.718398298331681,"endHours":9.159416481065147,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:36","startHours":9.159416481065147,"endHours":10.600434663798612,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:02","startHours":10.600434663798612,"endHours":12.041452846532078,"quality":"inauspicious"},{"name":"Chala","start":"12:02","end":"13:29","startHours":12.041452846532078,"endHours":13.482471029265545,"quality":"neutral"},{"name":"Labha","start":"13:29","end":"14:55","startHours":13.482471029265545,"endHours":14.92348921199901,"quality":"auspicious"},{"name":"Amṛta","start":"14:55","end":"16:22","startHours":14.92348921199901,"endHours":16.364507394732478,"quality":"auspicious"},{"name":"Kāla","start":"16:22","end":"17:48","startHours":16.364507394732478,"endHours":17.805525577465943,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:48","end":"19:22","startHours":17.805525577465943,"endHours":19.364507394732478,"quality":"auspicious"},{"name":"Amṛta","start":"19:22","end":"20:55","startHours":19.364507394732478,"endHours":20.923489211999012,"quality":"auspicious"},{"name":"Kāla","start":"20:55","end":"22:29","startHours":20.923489211999012,"endHours":22.482471029265547,"quality":"inauspicious"},{"name":"Śubha","start":"22:29","end":"00:02","startHours":22.482471029265547,"endHours":24.041452846532078,"quality":"auspicious"},{"name":"Roga","start":"00:02","end":"01:36","startHours":24.041452846532078,"endHours":25.600434663798612,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:10","startHours":25.600434663798612,"endHours":27.159416481065147,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:43","startHours":27.159416481065147,"endHours":28.718398298331678,"quality":"neutral"},{"name":"Labha","start":"04:43","end":"06:17","startHours":28.718398298331678,"endHours":30.277380115598213,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.2773801155982145,"endHours":7.2773801155982145,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.2773801155982145,"endHours":8.277380115598215,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.277380115598215,"endHours":9.277380115598215,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.277380115598215,"endHours":10.277380115598215,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.277380115598215,"endHours":11.277380115598215,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.277380115598215,"endHours":12.277380115598215,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.277380115598215,"endHours":13.277380115598215,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.277380115598215,"endHours":14.277380115598215,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.277380115598215,"endHours":15.277380115598215,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.277380115598215,"endHours":16.277380115598213,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.277380115598213,"endHours":17.277380115598213,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.277380115598213,"endHours":18.277380115598213,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.277380115598213,"endHours":19.277380115598213,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.277380115598213,"endHours":20.277380115598213,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.277380115598213,"endHours":21.277380115598213,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.277380115598213,"endHours":22.277380115598213,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.277380115598213,"endHours":23.277380115598213,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.277380115598213,"endHours":24.277380115598213,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.277380115598213,"endHours":25.277380115598213,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.277380115598213,"endHours":26.277380115598213,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.277380115598213,"endHours":27.277380115598213,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.277380115598213,"endHours":28.277380115598213,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.277380115598213,"endHours":29.277380115598213,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.277380115598213,"endHours":30.277380115598213,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","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":-7.733790679862209,"eotMinutes":14.442429208075392,"ayanamsa":23.8779}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 13, 2001 CE · Ṛṣikeśa · Vidhyamitra","description":"October 13, 2001 CE for Ṛṣikeśa: Kṛṣṇa Ekādaśī, sūryodaya 06:17, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2001-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2001-10-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2001-10-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2001-10-13","x-default":"https://vidhyamitra.com/city/rishikesh/2001-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T03:22:00.560Z","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":"2026-05-17T03:22:00.560Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T03:22:00.560Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}