{"id":"vidhyamitra:city-day:rishikesh:2159-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2159-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509637.770833,"kali_year":5260,"ahargana":1921172.2708,"sun":{"sidereal_longitude":273.1492,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":278.4888,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.3396,"elapsed_within_tithi_degrees":5.3396},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.4888,"elapsed_within_degrees":11.8221},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.6381},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":2159,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509637.770833,"ahargana":1921172.2708,"kali_year":5260,"ayanamsa_lahiri":26.0748,"grahas":{"sun":{"sidereal_longitude":273.614239,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":278.517239,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":0.8917},"mars":{"sidereal_longitude":200.073939,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":287.57683900000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":166.308939,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":302.514239,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":180.67873899999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":267.0478,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":87.0478,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509637.770833,"kali_year":5260,"ahargana":1921172.2708,"sun":{"sidereal_longitude":273.1492,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":278.4888,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":5.3396,"elapsed_within_tithi_degrees":5.3396},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.4888,"elapsed_within_degrees":11.8221},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.6381},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.892,"elongation":5.34},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.892,"opposition_distance":174.66}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":1.097,"opposition_distance":2.942}]},"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":"07:13","sunsetLocal":"17:43","solarNoonLocal":"12:28","dayLengthHours":10.497435244770106,"dayLengthDisplay":"10 Hours 29 Mins 51 Secs","nightLengthDisplay":"13 Hours 30 Mins 09 Secs","moonriseLocal":"07:31","moonsetLocal":"18:04","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:09","startHours":9.840539577761296,"endHours":11.152718983357559,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:47","end":"15:05","startHours":13.777077794550085,"endHours":15.08925720014635,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:13","end":"08:32","startHours":7.21618076656877,"endHours":8.528360172165034,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.665582323681795,"endHours":10.015496831840798,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.653573901767524,"endHours":7.9335055082947274,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.114983880794819,"endHours":12.814812897112825,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.816522733932755,"endHours":6.516351750250763,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.341394496171261,"endHours":7.21618076656877,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.214470929748842,"endHours":14.91429994606685,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.513616011338875,"endHours":17.913616011338874,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.713616011338875,"endHours":18.15100914653763,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.463616011338875,"endHours":19.213616011338875,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.114983880794817,"endHours":24.814812897112823,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:13","end":"08:32","startHours":7.21618076656877,"endHours":8.528360172165034,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:50","startHours":8.528360172165034,"endHours":9.840539577761296,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:09","startHours":9.840539577761296,"endHours":11.152718983357559,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:28","startHours":11.152718983357559,"endHours":12.464898388953824,"quality":"inauspicious"},{"name":"Chala","start":"12:28","end":"13:47","startHours":12.464898388953824,"endHours":13.777077794550085,"quality":"neutral"},{"name":"Labha","start":"13:47","end":"15:05","startHours":13.777077794550085,"endHours":15.08925720014635,"quality":"auspicious"},{"name":"Amṛta","start":"15:05","end":"16:24","startHours":15.08925720014635,"endHours":16.401436605742614,"quality":"auspicious"},{"name":"Kāla","start":"16:24","end":"17:43","startHours":16.401436605742614,"endHours":17.713616011338875,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:43","end":"19:24","startHours":17.713616011338875,"endHours":19.40143660574261,"quality":"auspicious"},{"name":"Amṛta","start":"19:24","end":"21:05","startHours":19.40143660574261,"endHours":21.08925720014635,"quality":"auspicious"},{"name":"Kāla","start":"21:05","end":"22:47","startHours":21.08925720014635,"endHours":22.777077794550085,"quality":"inauspicious"},{"name":"Śubha","start":"22:47","end":"00:28","startHours":22.777077794550085,"endHours":24.46489838895382,"quality":"auspicious"},{"name":"Roga","start":"00:28","end":"02:09","startHours":24.46489838895382,"endHours":26.15271898335756,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"03:50","startHours":26.15271898335756,"endHours":27.840539577761295,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:32","startHours":27.840539577761295,"endHours":29.52836017216503,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:13","startHours":29.52836017216503,"endHours":31.21618076656877,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.21618076656877,"endHours":8.216180766568769,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.216180766568769,"endHours":9.216180766568769,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.216180766568769,"endHours":10.216180766568769,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.216180766568769,"endHours":11.216180766568769,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.216180766568769,"endHours":12.216180766568769,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.216180766568769,"endHours":13.216180766568769,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.216180766568769,"endHours":14.216180766568769,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.216180766568769,"endHours":15.216180766568769,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.216180766568769,"endHours":16.21618076656877,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.21618076656877,"endHours":17.21618076656877,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.21618076656877,"endHours":18.21618076656877,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.21618076656877,"endHours":19.21618076656877,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.21618076656877,"endHours":20.21618076656877,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.21618076656877,"endHours":21.21618076656877,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.21618076656877,"endHours":22.21618076656877,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.21618076656877,"endHours":23.21618076656877,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.21618076656877,"endHours":24.21618076656877,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.21618076656877,"endHours":25.21618076656877,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.21618076656877,"endHours":26.21618076656877,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.21618076656877,"endHours":27.21618076656877,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.21618076656877,"endHours":28.21618076656877,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.21618076656877,"endHours":29.21618076656877,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.21618076656877,"endHours":30.21618076656877,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.21618076656877,"endHours":31.21618076656877,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.21358094886691,"eotMinutes":-10.9643033372293,"ayanamsa":26.0748}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"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 January 20, 2159 CE · Ṛṣikeśa · Vidhyamitra","description":"January 20, 2159 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 07:13, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2159-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2159-01-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2159-01-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2159-01-20","x-default":"https://vidhyamitra.com/city/rishikesh/2159-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T03:13:31.427Z","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":"2026-05-27T03:13:31.427Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T03:13:31.427Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}