{"id":"vidhyamitra:city-day:rishikesh:2081-12-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2081-12-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2081-12-28","date_display":"December 28, 2081 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":2081,"month":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481491.770833,"kali_year":5183,"ahargana":1893026.2708,"sun":{"sidereal_longitude":251.4902,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":225.9992,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.509,"elapsed_within_tithi_degrees":10.509},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.9992,"elapsed_within_degrees":12.6659},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.4894},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2081,"month":12,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481491.770833,"ahargana":1893026.2708,"kali_year":5183,"ayanamsa_lahiri":24.9984,"grahas":{"sun":{"sidereal_longitude":251.95912399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":225.160524,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-4.4962},"mars":{"sidereal_longitude":202.529724,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":270.357024,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":325.6987240000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":252.85462399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":298.46912399999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":318.3583,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":138.3583,"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":2081,"month":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481491.770833,"kali_year":5183,"ahargana":1893026.2708,"sun":{"sidereal_longitude":251.4902,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":225.9992,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.509,"elapsed_within_tithi_degrees":10.509},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":225.9992,"elapsed_within_degrees":12.6659},"yoga":{"number":9,"name":"Śūla","sum_longitude":117.4894},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.496,"elongation":25.491},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.496,"opposition_distance":154.509}},"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":"07:12","sunsetLocal":"17:25","solarNoonLocal":"12:19","dayLengthHours":10.221749534490293,"dayLengthDisplay":"10 Hours 13 Mins 18 Secs","nightLengthDisplay":"13 Hours 46 Mins 42 Secs","moonriseLocal":"05:23","moonsetLocal":"15:41","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:25","startHours":16.146767816505317,"endHours":17.424486508316605,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:19","end":"13:35","startHours":12.313611741071458,"endHours":13.591330432882746,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:52","end":"16:09","startHours":14.869049124694033,"endHours":16.146767816505317,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.587811865207382,"endHours":9.92853684969039,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:54","startHours":7.628643204430075,"endHours":7.901223192016483,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:39","startHours":11.972886756588448,"endHours":12.654336725554469,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:50","end":"06:31","startHours":5.8398370358942735,"endHours":6.521287004860294,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:21","end":"07:12","startHours":6.350924512618788,"endHours":7.202736973826313,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:42","startHours":14.017236663486507,"endHours":14.698686632452526,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.224486508316605,"endHours":17.624486508316604,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:51","startHours":17.424486508316605,"endHours":17.850392738920366,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.174486508316605,"endHours":18.924486508316605,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:39","startHours":23.972886756588448,"endHours":24.65433672555447,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:12","end":"08:29","startHours":7.202736973826313,"endHours":8.4804556656376,"quality":"inauspicious"},{"name":"Chala","start":"08:29","end":"09:45","startHours":8.4804556656376,"endHours":9.758174357448887,"quality":"neutral"},{"name":"Labha","start":"09:45","end":"11:02","startHours":9.758174357448887,"endHours":11.035893049260173,"quality":"auspicious"},{"name":"Amṛta","start":"11:02","end":"12:19","startHours":11.035893049260173,"endHours":12.313611741071458,"quality":"auspicious"},{"name":"Kāla","start":"12:19","end":"13:35","startHours":12.313611741071458,"endHours":13.591330432882746,"quality":"inauspicious"},{"name":"Śubha","start":"13:35","end":"14:52","startHours":13.591330432882746,"endHours":14.869049124694033,"quality":"auspicious"},{"name":"Roga","start":"14:52","end":"16:09","startHours":14.869049124694033,"endHours":16.146767816505317,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:25","startHours":16.146767816505317,"endHours":17.424486508316605,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:25","end":"19:09","startHours":17.424486508316605,"endHours":19.146767816505317,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:52","startHours":19.146767816505317,"endHours":20.86904912469403,"quality":"inauspicious"},{"name":"Udveg","start":"20:52","end":"22:35","startHours":20.86904912469403,"endHours":22.591330432882746,"quality":"inauspicious"},{"name":"Chala","start":"22:35","end":"00:19","startHours":22.591330432882746,"endHours":24.31361174107146,"quality":"neutral"},{"name":"Labha","start":"00:19","end":"02:02","startHours":24.31361174107146,"endHours":26.03589304926017,"quality":"auspicious"},{"name":"Amṛta","start":"02:02","end":"03:45","startHours":26.03589304926017,"endHours":27.758174357448887,"quality":"auspicious"},{"name":"Kāla","start":"03:45","end":"05:29","startHours":27.758174357448887,"endHours":29.4804556656376,"quality":"inauspicious"},{"name":"Śubha","start":"05:29","end":"07:12","startHours":29.4804556656376,"endHours":31.202736973826312,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.202736973826313,"endHours":8.202736973826312,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.202736973826312,"endHours":9.202736973826312,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.202736973826312,"endHours":10.202736973826312,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.202736973826312,"endHours":11.202736973826312,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.202736973826312,"endHours":12.202736973826312,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.202736973826312,"endHours":13.202736973826312,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.202736973826312,"endHours":14.202736973826312,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.202736973826312,"endHours":15.202736973826312,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.202736973826312,"endHours":16.202736973826312,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.202736973826312,"endHours":17.202736973826312,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.202736973826312,"endHours":18.202736973826312,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.202736973826312,"endHours":19.202736973826312,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.202736973826312,"endHours":20.202736973826312,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.202736973826312,"endHours":21.202736973826312,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.202736973826312,"endHours":22.202736973826312,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.202736973826312,"endHours":23.202736973826312,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.202736973826312,"endHours":24.202736973826312,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.202736973826312,"endHours":25.202736973826312,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.202736973826312,"endHours":26.202736973826312,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.202736973826312,"endHours":27.202736973826312,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.202736973826312,"endHours":28.202736973826312,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.202736973826312,"endHours":29.202736973826312,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.202736973826312,"endHours":30.202736973826312,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.202736973826312,"endHours":31.202736973826312,"planetary_lord":"Jupiter"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.253728736103366,"eotMinutes":-1.8871044642874448,"ayanamsa":24.9984}},"calendars":{"vikram_samvat":2138,"vikram_samvatsara":"Ānanda","saka_samvat":2003,"saka_samvatsara":"Plava","bengali_samvat":1488,"malayalam_era":1257,"nanakshahi_year":612,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 2138 Ānanda · Śaka 2003 Plava"},"festivals":[{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 December 28, 2081 CE · Ṛṣikeśa · Vidhyamitra","description":"December 28, 2081 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 07:12, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2081-12-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2081-12-28","sa":"https://sa.vidhyamitra.com/city/rishikesh/2081-12-28","hi":"https://hi.vidhyamitra.com/city/rishikesh/2081-12-28","x-default":"https://vidhyamitra.com/city/rishikesh/2081-12-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:53:59.991Z","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":"2026-05-31T19:53:59.991Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:53:59.991Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}