{"id":"vidhyamitra:city-day:rishikesh:2139-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2139-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-10-20","date_display":"October 20, 2139 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":2139,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502605.770833,"kali_year":5241,"ahargana":1914140.2708,"sun":{"sidereal_longitude":179.4176,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":146.7127,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.2951,"elapsed_within_tithi_degrees":3.2951},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.7127,"elapsed_within_degrees":0.0461},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.1304},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2139,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502605.770833,"ahargana":1914140.2708,"kali_year":5241,"ayanamsa_lahiri":25.8059,"grahas":{"sun":{"sidereal_longitude":180.485413,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":148.86971300000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":-3.2936},"mars":{"sidereal_longitude":123.762313,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":173.64961300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":275.290213,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":204.87841300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":283.89641299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":279.637,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":99.637,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"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":2139,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502605.770833,"kali_year":5241,"ahargana":1914140.2708,"sun":{"sidereal_longitude":179.4176,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":146.7127,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":327.2951,"elapsed_within_tithi_degrees":3.2951},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":146.7127,"elapsed_within_degrees":0.0461},"yoga":{"number":25,"name":"Brahma","sum_longitude":326.1304},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.294,"elongation":32.705},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.294,"opposition_distance":147.295}},"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":"06:21","sunsetLocal":"17:41","solarNoonLocal":"12:01","dayLengthHours":11.337433017758123,"dayLengthDisplay":"11 Hours 20 Mins 15 Secs","nightLengthDisplay":"12 Hours 39 Mins 45 Secs","moonriseLocal":"03:47","moonsetLocal":"16:02","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:16","startHours":14.854903733702345,"endHours":16.27208286092211,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:11","end":"10:36","startHours":9.186187224823284,"endHours":10.60336635204305,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:01","end":"13:26","startHours":12.020545479262815,"endHours":13.437724606482579,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.997230007860647,"endHours":9.375144441785919,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:08","startHours":6.824222012790342,"endHours":7.126553559930558,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:24","startHours":11.642631045337543,"endHours":12.398459913188086,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:36","startHours":4.84017123468267,"endHours":5.596000102533211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:24","end":"06:21","startHours":5.4070428855705766,"endHours":6.351828970383753,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:40","startHours":13.910117648889168,"endHours":14.665946516739709,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.489261988141877,"endHours":17.889261988141875,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:10","startHours":17.689261988141876,"endHours":18.161655030548463,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.439261988141876,"endHours":19.189261988141876,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:24","startHours":23.642631045337545,"endHours":24.398459913188084,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:21","end":"07:46","startHours":6.351828970383753,"endHours":7.7690080976035185,"quality":"inauspicious"},{"name":"Udveg","start":"07:46","end":"09:11","startHours":7.7690080976035185,"endHours":9.186187224823284,"quality":"inauspicious"},{"name":"Chala","start":"09:11","end":"10:36","startHours":9.186187224823284,"endHours":10.60336635204305,"quality":"neutral"},{"name":"Labha","start":"10:36","end":"12:01","startHours":10.60336635204305,"endHours":12.020545479262815,"quality":"auspicious"},{"name":"Amṛta","start":"12:01","end":"13:26","startHours":12.020545479262815,"endHours":13.437724606482579,"quality":"auspicious"},{"name":"Kāla","start":"13:26","end":"14:51","startHours":13.437724606482579,"endHours":14.854903733702345,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:16","startHours":14.854903733702345,"endHours":16.27208286092211,"quality":"auspicious"},{"name":"Roga","start":"16:16","end":"17:41","startHours":16.27208286092211,"endHours":17.689261988141876,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:41","end":"19:16","startHours":17.689261988141876,"endHours":19.27208286092211,"quality":"inauspicious"},{"name":"Śubha","start":"19:16","end":"20:51","startHours":19.27208286092211,"endHours":20.854903733702344,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:26","startHours":20.854903733702344,"endHours":22.43772460648258,"quality":"inauspicious"},{"name":"Udveg","start":"22:26","end":"00:01","startHours":22.43772460648258,"endHours":24.020545479262815,"quality":"inauspicious"},{"name":"Chala","start":"00:01","end":"01:36","startHours":24.020545479262815,"endHours":25.60336635204305,"quality":"neutral"},{"name":"Labha","start":"01:36","end":"03:11","startHours":25.60336635204305,"endHours":27.186187224823286,"quality":"auspicious"},{"name":"Amṛta","start":"03:11","end":"04:46","startHours":27.186187224823286,"endHours":28.769008097603518,"quality":"auspicious"},{"name":"Kāla","start":"04:46","end":"06:21","startHours":28.769008097603518,"endHours":30.351828970383753,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.351828970383753,"endHours":7.351828970383753,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.351828970383753,"endHours":8.351828970383753,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.351828970383753,"endHours":9.351828970383753,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.351828970383753,"endHours":10.351828970383753,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.351828970383753,"endHours":11.351828970383753,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.351828970383753,"endHours":12.351828970383753,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.351828970383753,"endHours":13.351828970383753,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.351828970383753,"endHours":14.351828970383753,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.351828970383753,"endHours":15.351828970383753,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.351828970383753,"endHours":16.351828970383753,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.351828970383753,"endHours":17.351828970383753,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.351828970383753,"endHours":18.351828970383753,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.351828970383753,"endHours":19.351828970383753,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.351828970383753,"endHours":20.351828970383753,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.351828970383753,"endHours":21.351828970383753,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.351828970383753,"endHours":22.351828970383753,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.351828970383753,"endHours":23.351828970383753,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.351828970383753,"endHours":24.351828970383753,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.351828970383753,"endHours":25.351828970383753,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.351828970383753,"endHours":26.351828970383753,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.351828970383753,"endHours":27.351828970383753,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.351828970383753,"endHours":28.351828970383753,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.351828970383753,"endHours":29.351828970383753,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.351828970383753,"endHours":30.351828970383753,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-10.14673648939428,"eotMinutes":15.696871244231174,"ayanamsa":25.8059}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Trayodaśī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 20, 2139 CE · Ṛṣikeśa · Vidhyamitra","description":"October 20, 2139 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 06:21, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2139-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2139-10-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2139-10-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2139-10-20","x-default":"https://vidhyamitra.com/city/rishikesh/2139-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T15:20:41.255Z","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":"2026-05-25T15:20:41.255Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-25T15:20:41.255Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}