{"id":"vidhyamitra:city-day:rishikesh:2082-01-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2082-01-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-01-26","date_display":"January 26, 2082 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":2082,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481520.770833,"kali_year":5183,"ahargana":1893055.2708,"sun":{"sidereal_longitude":281.2745,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":248.1062,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.8316,"elapsed_within_tithi_degrees":2.8316},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.1062,"elapsed_within_degrees":8.1062},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.3807},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2082,"month":1,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481520.770833,"ahargana":1893055.2708,"kali_year":5183,"ayanamsa_lahiri":24.9995,"grahas":{"sun":{"sidereal_longitude":281.49651599999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":248.26831600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":-4.1925},"mars":{"sidereal_longitude":221.29711599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":256.73821599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":330.630316,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":289.32021599999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":301.569616,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":316.8217,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":136.8217,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2082,"month":1,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481520.770833,"kali_year":5183,"ahargana":1893055.2708,"sun":{"sidereal_longitude":281.2745,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":248.1062,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.8316,"elapsed_within_tithi_degrees":2.8316},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.1062,"elapsed_within_degrees":8.1062},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.3807},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.192,"elongation":33.168},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.192,"opposition_distance":146.832}},"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":"07:10","sunsetLocal":"17:49","solarNoonLocal":"12:29","dayLengthHours":10.634623537802353,"dayLengthDisplay":"10 Hours 38 Mins 05 Secs","nightLengthDisplay":"13 Hours 21 Mins 55 Secs","moonriseLocal":"05:12","moonsetLocal":"15:22","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:50","startHours":8.503222597551298,"endHours":9.832550539776593,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:29","startHours":11.161878482001885,"endHours":12.49120642422718,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:09","startHours":13.820534366452474,"endHours":15.149862308677768,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.655306814146552,"endHours":10.009794265406631,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.617003969401102,"endHours":7.900593930409165,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.1367189729671,"endHours":12.845693875487258,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.75594485028569,"endHours":6.464919752805847,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.287676027175808,"endHours":7.173894655326004,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:58","startHours":14.263643680527572,"endHours":14.97261858304773,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.608518193128358,"endHours":18.008518193128356,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.808518193128357,"endHours":18.251627507203455,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.558518193128357,"endHours":19.308518193128357,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.136718972967103,"endHours":24.845693875487257,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:30","startHours":7.173894655326004,"endHours":8.503222597551298,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:50","startHours":8.503222597551298,"endHours":9.832550539776593,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.832550539776593,"endHours":11.161878482001885,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:29","startHours":11.161878482001885,"endHours":12.49120642422718,"quality":"inauspicious"},{"name":"Udveg","start":"12:29","end":"13:49","startHours":12.49120642422718,"endHours":13.820534366452474,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:09","startHours":13.820534366452474,"endHours":15.149862308677768,"quality":"neutral"},{"name":"Labha","start":"15:09","end":"16:29","startHours":15.149862308677768,"endHours":16.479190250903063,"quality":"auspicious"},{"name":"Amṛta","start":"16:29","end":"17:49","startHours":16.479190250903063,"endHours":17.808518193128357,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:49","end":"19:29","startHours":17.808518193128357,"endHours":19.479190250903063,"quality":"neutral"},{"name":"Labha","start":"19:29","end":"21:09","startHours":19.479190250903063,"endHours":21.14986230867777,"quality":"auspicious"},{"name":"Amṛta","start":"21:09","end":"22:49","startHours":21.14986230867777,"endHours":22.820534366452474,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:29","startHours":22.820534366452474,"endHours":24.49120642422718,"quality":"inauspicious"},{"name":"Śubha","start":"00:29","end":"02:10","startHours":24.49120642422718,"endHours":26.16187848200189,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.16187848200189,"endHours":27.83255053977659,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:30","startHours":27.83255053977659,"endHours":29.5032225975513,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:10","startHours":29.5032225975513,"endHours":31.173894655326002,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173894655326004,"endHours":8.173894655326004,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173894655326004,"endHours":9.173894655326004,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173894655326004,"endHours":10.173894655326004,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173894655326004,"endHours":11.173894655326004,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173894655326004,"endHours":12.173894655326004,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173894655326004,"endHours":13.173894655326004,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173894655326004,"endHours":14.173894655326004,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173894655326004,"endHours":15.173894655326004,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173894655326004,"endHours":16.173894655326002,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173894655326002,"endHours":17.173894655326002,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173894655326002,"endHours":18.173894655326002,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173894655326002,"endHours":19.173894655326002,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173894655326002,"endHours":20.173894655326002,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173894655326002,"endHours":21.173894655326002,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173894655326002,"endHours":22.173894655326002,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173894655326002,"endHours":23.173894655326002,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173894655326002,"endHours":24.173894655326002,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173894655326002,"endHours":25.173894655326002,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173894655326002,"endHours":26.173894655326002,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173894655326002,"endHours":27.173894655326002,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173894655326002,"endHours":28.173894655326002,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173894655326002,"endHours":29.173894655326002,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173894655326002,"endHours":30.173894655326002,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173894655326002,"endHours":31.173894655326002,"planetary_lord":"Venus"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-18.646985267013203,"eotMinutes":-12.542785453630707,"ayanamsa":24.9995}},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"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":"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 26, 2082 CE · Ṛṣikeśa · Vidhyamitra","description":"January 26, 2082 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 07:10, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2082-01-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2082-01-26","sa":"https://sa.vidhyamitra.com/city/rishikesh/2082-01-26","hi":"https://hi.vidhyamitra.com/city/rishikesh/2082-01-26","x-default":"https://vidhyamitra.com/city/rishikesh/2082-01-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T21:13:15.152Z","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":"2026-05-20T21:13:15.152Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T21:13:15.152Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}