{"id":"vidhyamitra:city-day:cuttack:2033-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/cuttack/2033-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-01-06","date_display":"January 6, 2033 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":2033,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463603.770833,"kali_year":5134,"ahargana":1875138.2708,"sun":{"sidereal_longitude":261.441,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":321.1275,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.6865,"elapsed_within_tithi_degrees":11.6865},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":321.1275,"elapsed_within_degrees":1.1275},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.5685},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2033,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463603.770833,"ahargana":1875138.2708,"kali_year":5134,"ayanamsa_lahiri":24.3142,"grahas":{"sun":{"sidereal_longitude":261.70877700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":323.995577,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":3.1816},"mars":{"sidereal_longitude":196.86967700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":257.098977,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":283.174577,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":308.39897700000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":68.13407699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":186.1506,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":6.1506,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2033,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463603.770833,"kali_year":5134,"ahargana":1875138.2708,"sun":{"sidereal_longitude":261.441,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":321.1275,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.6865,"elapsed_within_tithi_degrees":11.6865},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":321.1275,"elapsed_within_degrees":1.1275},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":222.5685},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.182,"elongation":59.687},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.182,"opposition_distance":120.313}},"eclipse_window_40days":[]},"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":"06:24","sunsetLocal":"17:21","solarNoonLocal":"11:52","dayLengthHours":10.945651732401753,"dayLengthDisplay":"10 Hours 56 Mins 44 Secs","nightLengthDisplay":"13 Hours 03 Mins 16 Secs","moonriseLocal":"10:06","moonsetLocal":"21:57","rahuKala":{"name":"Rāhu Kāla","start":"13:14","end":"14:37","startHours":13.240613484999784,"endHours":14.60881995155,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:24","end":"07:46","startHours":6.399581152248687,"endHours":7.767787618798906,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:08","end":"10:30","startHours":9.135994085349125,"endHours":10.504200551899345,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:19","startHours":8.953566556475764,"endHours":9.318421614222487,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:09","startHours":6.855649974432094,"endHours":7.1475340206294735,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:14","startHours":11.507551960702838,"endHours":12.237262076196288,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:40","startHours":4.9401609212617865,"endHours":5.669871036755237,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:24","startHours":5.487443507881874,"endHours":6.399581152248687,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:26","startHours":13.696682307183188,"endHours":14.426392422676638,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.14523288465044,"endHours":17.54523288465044,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:48","startHours":17.34523288465044,"endHours":17.801301706833847,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.09523288465044,"endHours":18.84523288465044,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:14","startHours":23.50755196070284,"endHours":24.237262076196288,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:24","end":"07:46","startHours":6.399581152248687,"endHours":7.767787618798906,"quality":"auspicious"},{"name":"Roga","start":"07:46","end":"09:08","startHours":7.767787618798906,"endHours":9.135994085349125,"quality":"inauspicious"},{"name":"Udveg","start":"09:08","end":"10:30","startHours":9.135994085349125,"endHours":10.504200551899345,"quality":"inauspicious"},{"name":"Chala","start":"10:30","end":"11:52","startHours":10.504200551899345,"endHours":11.872407018449564,"quality":"neutral"},{"name":"Labha","start":"11:52","end":"13:14","startHours":11.872407018449564,"endHours":13.240613484999784,"quality":"auspicious"},{"name":"Amṛta","start":"13:14","end":"14:37","startHours":13.240613484999784,"endHours":14.60881995155,"quality":"auspicious"},{"name":"Kāla","start":"14:37","end":"15:59","startHours":14.60881995155,"endHours":15.97702641810022,"quality":"inauspicious"},{"name":"Śubha","start":"15:59","end":"17:21","startHours":15.97702641810022,"endHours":17.34523288465044,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:21","end":"18:59","startHours":17.34523288465044,"endHours":18.97702641810022,"quality":"auspicious"},{"name":"Kāla","start":"18:59","end":"20:37","startHours":18.97702641810022,"endHours":20.60881995155,"quality":"inauspicious"},{"name":"Śubha","start":"20:37","end":"22:14","startHours":20.60881995155,"endHours":22.240613484999784,"quality":"auspicious"},{"name":"Roga","start":"22:14","end":"23:52","startHours":22.240613484999784,"endHours":23.872407018449564,"quality":"inauspicious"},{"name":"Udveg","start":"23:52","end":"01:30","startHours":23.872407018449564,"endHours":25.504200551899345,"quality":"inauspicious"},{"name":"Chala","start":"01:30","end":"03:08","startHours":25.504200551899345,"endHours":27.135994085349125,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:46","startHours":27.135994085349125,"endHours":28.767787618798906,"quality":"auspicious"},{"name":"Amṛta","start":"04:46","end":"06:24","startHours":28.767787618798906,"endHours":30.399581152248686,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.399581152248687,"endHours":7.399581152248687,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.399581152248687,"endHours":8.399581152248686,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.399581152248686,"endHours":9.399581152248686,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.399581152248686,"endHours":10.399581152248686,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.399581152248686,"endHours":11.399581152248686,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.399581152248686,"endHours":12.399581152248686,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.399581152248686,"endHours":13.399581152248686,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.399581152248686,"endHours":14.399581152248686,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.399581152248686,"endHours":15.399581152248686,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.399581152248686,"endHours":16.399581152248686,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.399581152248686,"endHours":17.399581152248686,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.399581152248686,"endHours":18.399581152248686,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.399581152248686,"endHours":19.399581152248686,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.399581152248686,"endHours":20.399581152248686,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.399581152248686,"endHours":21.399581152248686,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.399581152248686,"endHours":22.399581152248686,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.399581152248686,"endHours":23.399581152248686,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.399581152248686,"endHours":24.399581152248686,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.399581152248686,"endHours":25.399581152248686,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.399581152248686,"endHours":26.399581152248686,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.399581152248686,"endHours":27.399581152248686,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.399581152248686,"endHours":28.399581152248686,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.399581152248686,"endHours":29.399581152248686,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.399581152248686,"endHours":30.399581152248686,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","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":-22.47504388051283,"eotMinutes":-5.875621106973772,"ayanamsa":24.3142}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 6, 2033 CE · Cuttack, Odisha · Vidhyamitra","description":"January 6, 2033 CE for Cuttack, Odisha: Śukla Pañcamī, sūryodaya 06:24, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/cuttack/2033-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/cuttack/2033-01-06","sa":"https://sa.vidhyamitra.com/city/cuttack/2033-01-06","hi":"https://hi.vidhyamitra.com/city/cuttack/2033-01-06","x-default":"https://vidhyamitra.com/city/cuttack/2033-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:03:47.833Z","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":"2026-05-15T17:03:47.833Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:03:47.833Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}