{"id":"vidhyamitra:city-day:rishikesh:2026-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2026-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-01-05","date_display":"January 5, 2026 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":2026,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461045.770833,"kali_year":5127,"ahargana":1872580.2708,"sun":{"sidereal_longitude":260.2189,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":102.3339,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.115,"elapsed_within_tithi_degrees":10.115},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.3339,"elapsed_within_degrees":9.0006},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.5529},"karana":{"half_tithi_index":33,"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":2026,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461045.770833,"ahargana":1872580.2708,"kali_year":5127,"ayanamsa_lahiri":24.2164,"grahas":{"sun":{"sidereal_longitude":260.480511,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":102.489711,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":2.8516},"mars":{"sidereal_longitude":261.19391100000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":250.297011,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":86.461611,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":259.744811,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":332.285611,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":321.6858,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.6858,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2026,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461045.770833,"kali_year":5127,"ahargana":1872580.2708,"sun":{"sidereal_longitude":260.2189,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":102.3339,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":202.115,"elapsed_within_tithi_degrees":10.115},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.3339,"elapsed_within_degrees":9.0006},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":2.5529},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.852,"elongation":157.885},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.852,"opposition_distance":22.115}},"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":"07:14","sunsetLocal":"17:31","solarNoonLocal":"12:22","dayLengthHours":10.279769051715085,"dayLengthDisplay":"10 Hours 16 Mins 47 Secs","nightLengthDisplay":"13 Hours 43 Mins 13 Secs","moonriseLocal":"19:03","moonsetLocal":"08:38","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"09:48","startHours":8.518126116009562,"endHours":9.803097247473948,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:22","startHours":11.088068378938335,"endHours":12.37303951040272,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:39","end":"14:57","startHours":13.658010641867104,"endHours":14.942981773331491,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:58","startHours":9.631767763278697,"endHours":9.9744267316692,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.661478695033305,"endHours":7.935605869745707,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.030380542012217,"endHours":12.715698478793222,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.862519110983166,"endHours":6.547837047764171,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.37650756356892,"endHours":7.233154984545177,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.086334352355234,"endHours":14.77165228913624,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.312924036260263,"endHours":17.71292403626026,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:56","startHours":17.512924036260262,"endHours":17.94124774674839,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.262924036260262,"endHours":19.012924036260262,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.030380542012217,"endHours":24.71569847879322,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:14","end":"08:31","startHours":7.233154984545177,"endHours":8.518126116009562,"quality":"auspicious"},{"name":"Kāla","start":"08:31","end":"09:48","startHours":8.518126116009562,"endHours":9.803097247473948,"quality":"inauspicious"},{"name":"Śubha","start":"09:48","end":"11:05","startHours":9.803097247473948,"endHours":11.088068378938335,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:22","startHours":11.088068378938335,"endHours":12.37303951040272,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:39","startHours":12.37303951040272,"endHours":13.658010641867104,"quality":"inauspicious"},{"name":"Chala","start":"13:39","end":"14:57","startHours":13.658010641867104,"endHours":14.942981773331491,"quality":"neutral"},{"name":"Labha","start":"14:57","end":"16:14","startHours":14.942981773331491,"endHours":16.227952904795877,"quality":"auspicious"},{"name":"Amṛta","start":"16:14","end":"17:31","startHours":16.227952904795877,"endHours":17.512924036260262,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:31","end":"19:14","startHours":17.512924036260262,"endHours":19.227952904795877,"quality":"neutral"},{"name":"Labha","start":"19:14","end":"20:57","startHours":19.227952904795877,"endHours":20.94298177333149,"quality":"auspicious"},{"name":"Amṛta","start":"20:57","end":"22:39","startHours":20.94298177333149,"endHours":22.658010641867104,"quality":"auspicious"},{"name":"Kāla","start":"22:39","end":"00:22","startHours":22.658010641867104,"endHours":24.37303951040272,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"02:05","startHours":24.37303951040272,"endHours":26.088068378938335,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:48","startHours":26.088068378938335,"endHours":27.80309724747395,"quality":"inauspicious"},{"name":"Udveg","start":"03:48","end":"05:31","startHours":27.80309724747395,"endHours":29.51812611600956,"quality":"inauspicious"},{"name":"Chala","start":"05:31","end":"07:14","startHours":29.51812611600956,"endHours":31.233154984545177,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.233154984545177,"endHours":8.233154984545177,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.233154984545177,"endHours":9.233154984545177,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.233154984545177,"endHours":10.233154984545177,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.233154984545177,"endHours":11.233154984545177,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.233154984545177,"endHours":12.233154984545177,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.233154984545177,"endHours":13.233154984545177,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.233154984545177,"endHours":14.233154984545177,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.233154984545177,"endHours":15.233154984545177,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.233154984545177,"endHours":16.233154984545177,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.233154984545177,"endHours":17.233154984545177,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.233154984545177,"endHours":18.233154984545177,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.233154984545177,"endHours":19.233154984545177,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.233154984545177,"endHours":20.233154984545177,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.233154984545177,"endHours":21.233154984545177,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.233154984545177,"endHours":22.233154984545177,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.233154984545177,"endHours":23.233154984545177,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.233154984545177,"endHours":24.233154984545177,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.233154984545177,"endHours":25.233154984545177,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.233154984545177,"endHours":26.233154984545177,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.233154984545177,"endHours":27.233154984545177,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.233154984545177,"endHours":28.233154984545177,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.233154984545177,"endHours":29.233154984545177,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.233154984545177,"endHours":30.233154984545177,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.233154984545177,"endHours":31.233154984545177,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.626310497638233,"eotMinutes":-5.452770624163118,"ayanamsa":24.2164}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvitīyā · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"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 5, 2026 CE · Ṛṣikeśa · Vidhyamitra","description":"January 5, 2026 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 07:14, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2026-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2026-01-05","sa":"https://sa.vidhyamitra.com/city/rishikesh/2026-01-05","hi":"https://hi.vidhyamitra.com/city/rishikesh/2026-01-05","x-default":"https://vidhyamitra.com/city/rishikesh/2026-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T01:06:55.281Z","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":"2026-05-15T01:06:55.281Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T01:06:55.281Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}