{"id":"vidhyamitra:city-day:cuttack:2103-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/cuttack/2103-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-03","date_display":"January 3, 2103 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":2103,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489166.770833,"kali_year":5204,"ahargana":1900701.2708,"sun":{"sidereal_longitude":256.1844,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":184.4893,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.3049,"elapsed_within_tithi_degrees":0.3049},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.4893,"elapsed_within_degrees":11.156},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.6737},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2103,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489166.770833,"ahargana":1900701.2708,"kali_year":5204,"ayanamsa_lahiri":25.2919,"grahas":{"sun":{"sidereal_longitude":256.661282,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":182.089382,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-4.4947},"mars":{"sidereal_longitude":242.95998200000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":234.97638200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":251.162282,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":278.54078200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":212.00838199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":271.6999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.6999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2103,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489166.770833,"kali_year":5204,"ahargana":1900701.2708,"sun":{"sidereal_longitude":256.1844,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":184.4893,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.3049,"elapsed_within_tithi_degrees":0.3049},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.4893,"elapsed_within_degrees":11.156},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.6737},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.495,"elongation":71.695},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.495,"opposition_distance":108.305}},"eclipse_window_40days":[{"offset_days":6,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":20,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"cuttack","name":"Cuttack, Odisha","lat":20.4625,"lon":85.8828,"tz_offset_hours":5.5,"state":"Odisha","country":"IN","tier":"tier-1"},"sunriseLocal":"06:23","sunsetLocal":"17:19","solarNoonLocal":"11:51","dayLengthHours":10.92102839140373,"dayLengthDisplay":"10 Hours 55 Mins 16 Secs","nightLengthDisplay":"13 Hours 04 Mins 44 Secs","moonriseLocal":"01:06","moonsetLocal":"12:39","rahuKala":{"name":"Rāhu Kāla","start":"11:51","end":"13:13","startHours":11.850970347177636,"endHours":13.216098896103103,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:07","startHours":7.755584700401238,"endHours":9.120713249326705,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:29","end":"11:51","startHours":10.48584179825217,"endHours":11.850970347177636,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:18","startHours":8.938696109469976,"endHours":9.302730389183434,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:08","startHours":6.845499001117594,"endHours":7.13672642488836,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:13","startHours":11.486936067464178,"endHours":12.215004626891094,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:40","startHours":4.934319032621941,"endHours":5.662387592048857,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:23","startHours":5.480370452192128,"endHours":6.390456151475772,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:24","startHours":13.671141745744926,"endHours":14.399210305171842,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.111484542879502,"endHours":17.5114845428795,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:46","startHours":17.3114845428795,"endHours":17.766527392521322,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.0614845428795,"endHours":18.8114845428795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:13","startHours":23.48693606746418,"endHours":24.215004626891094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:23","end":"07:45","startHours":6.390456151475772,"endHours":7.755584700401238,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:07","startHours":7.755584700401238,"endHours":9.120713249326705,"quality":"auspicious"},{"name":"Kāla","start":"09:07","end":"10:29","startHours":9.120713249326705,"endHours":10.48584179825217,"quality":"inauspicious"},{"name":"Śubha","start":"10:29","end":"11:51","startHours":10.48584179825217,"endHours":11.850970347177636,"quality":"auspicious"},{"name":"Roga","start":"11:51","end":"13:13","startHours":11.850970347177636,"endHours":13.216098896103103,"quality":"inauspicious"},{"name":"Udveg","start":"13:13","end":"14:35","startHours":13.216098896103103,"endHours":14.58122744502857,"quality":"inauspicious"},{"name":"Chala","start":"14:35","end":"15:57","startHours":14.58122744502857,"endHours":15.946355993954036,"quality":"neutral"},{"name":"Labha","start":"15:57","end":"17:19","startHours":15.946355993954036,"endHours":17.3114845428795,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:19","end":"18:57","startHours":17.3114845428795,"endHours":18.946355993954036,"quality":"inauspicious"},{"name":"Chala","start":"18:57","end":"20:35","startHours":18.946355993954036,"endHours":20.581227445028567,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"22:13","startHours":20.581227445028567,"endHours":22.2160988961031,"quality":"auspicious"},{"name":"Amṛta","start":"22:13","end":"23:51","startHours":22.2160988961031,"endHours":23.850970347177636,"quality":"auspicious"},{"name":"Kāla","start":"23:51","end":"01:29","startHours":23.850970347177636,"endHours":25.48584179825217,"quality":"inauspicious"},{"name":"Śubha","start":"01:29","end":"03:07","startHours":25.48584179825217,"endHours":27.120713249326705,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:45","startHours":27.120713249326705,"endHours":28.755584700401236,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:23","startHours":28.755584700401236,"endHours":30.39045615147577,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:23","end":"07:23","startHours":6.390456151475772,"endHours":7.390456151475772,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:23","end":"08:23","startHours":7.390456151475772,"endHours":8.390456151475771,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:23","end":"09:23","startHours":8.390456151475771,"endHours":9.390456151475771,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:23","end":"10:23","startHours":9.390456151475771,"endHours":10.390456151475771,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:23","end":"11:23","startHours":10.390456151475771,"endHours":11.390456151475771,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:23","end":"12:23","startHours":11.390456151475771,"endHours":12.390456151475771,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:23","end":"13:23","startHours":12.390456151475771,"endHours":13.390456151475771,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:23","end":"14:23","startHours":13.390456151475771,"endHours":14.390456151475771,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:23","end":"15:23","startHours":14.390456151475771,"endHours":15.390456151475771,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:23","end":"16:23","startHours":15.390456151475771,"endHours":16.39045615147577,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:23","end":"17:23","startHours":16.39045615147577,"endHours":17.39045615147577,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:23","end":"18:23","startHours":17.39045615147577,"endHours":18.39045615147577,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:23","end":"19:23","startHours":18.39045615147577,"endHours":19.39045615147577,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:23","end":"20:23","startHours":19.39045615147577,"endHours":20.39045615147577,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:23","end":"21:23","startHours":20.39045615147577,"endHours":21.39045615147577,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:23","end":"22:23","startHours":21.39045615147577,"endHours":22.39045615147577,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:23","end":"23:23","startHours":22.39045615147577,"endHours":23.39045615147577,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:23","end":"00:23","startHours":23.39045615147577,"endHours":24.39045615147577,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:23","end":"01:23","startHours":24.39045615147577,"endHours":25.39045615147577,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:23","end":"02:23","startHours":25.39045615147577,"endHours":26.39045615147577,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:23","end":"03:23","startHours":26.39045615147577,"endHours":27.39045615147577,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:23","end":"04:23","startHours":27.39045615147577,"endHours":28.39045615147577,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:23","end":"05:23","startHours":28.39045615147577,"endHours":29.39045615147577,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:23","end":"06:23","startHours":29.39045615147577,"endHours":30.39045615147577,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"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":-22.899038646118356,"eotMinutes":-4.589420830658165,"ayanamsa":25.2919}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"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 Daśamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"cuttack"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 2103 CE · Cuttack, Odisha · Vidhyamitra","description":"January 3, 2103 CE for Cuttack, Odisha: Kṛṣṇa Daśamī, sūryodaya 06:23, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/cuttack/2103-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/cuttack/2103-01-03","sa":"https://sa.vidhyamitra.com/city/cuttack/2103-01-03","hi":"https://hi.vidhyamitra.com/city/cuttack/2103-01-03","x-default":"https://vidhyamitra.com/city/cuttack/2103-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T15:31:30.352Z","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":"2026-06-02T15:31:30.352Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T15:31:30.352Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}