{"id":"vidhyamitra:city-day:ayodhya:2033-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2033-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-12-15","date_display":"December 15, 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":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463946.770833,"kali_year":5135,"ahargana":1875481.2708,"sun":{"sidereal_longitude":238.5699,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":162.4062,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.8363,"elapsed_within_tithi_degrees":7.8363},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.4062,"elapsed_within_degrees":2.4062},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.9761},"karana":{"half_tithi_index":47,"name":"Gara"},"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":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463946.770833,"ahargana":1875481.2708,"kali_year":5135,"ayanamsa_lahiri":24.3273,"grahas":{"sun":{"sidereal_longitude":239.03757199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":164.21657200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-0.4364},"mars":{"sidereal_longitude":314.77627200000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":233.7471720000001,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":306.9881720000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":233.75267200000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":85.09737200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":167.9768,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.9768,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463946.770833,"kali_year":5135,"ahargana":1875481.2708,"sun":{"sidereal_longitude":238.5699,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":162.4062,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":283.8363,"elapsed_within_tithi_degrees":7.8363},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.4062,"elapsed_within_degrees":2.4062},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.9761},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.436,"elongation":76.164},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.436,"opposition_distance":103.836}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:43","sunsetLocal":"17:11","solarNoonLocal":"11:57","dayLengthHours":10.465668157210144,"dayLengthDisplay":"10 Hours 27 Mins 56 Secs","nightLengthDisplay":"13 Hours 32 Mins 04 Secs","moonriseLocal":"01:02","moonsetLocal":"12:53","rahuKala":{"name":"Rāhu Kāla","start":"13:15","end":"14:34","startHours":13.258309602425069,"endHours":14.566518122076335,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:43","end":"08:02","startHours":6.717267004168727,"endHours":8.025475523819996,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:20","end":"10:39","startHours":9.333684043471264,"endHours":10.641892563122532,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:30","startHours":9.159256240851095,"endHours":9.508111846091433,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:09","end":"07:26","startHours":7.15333651071915,"endHours":7.43242099491142,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:18","startHours":11.60124547753346,"endHours":12.298956688014137,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:19","end":"06:01","startHours":5.321844583207374,"endHours":6.019555793688051,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:43","startHours":5.845127991067882,"endHours":6.717267004168727,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:24","startHours":13.69437910897549,"endHours":14.392090319456166,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.982935161378872,"endHours":17.38293516137887,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:37","startHours":17.18293516137887,"endHours":17.619004667929293,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.93293516137887,"endHours":18.68293516137887,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:18","startHours":23.60124547753346,"endHours":24.298956688014137,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:43","end":"08:02","startHours":6.717267004168727,"endHours":8.025475523819996,"quality":"auspicious"},{"name":"Roga","start":"08:02","end":"09:20","startHours":8.025475523819996,"endHours":9.333684043471264,"quality":"inauspicious"},{"name":"Udveg","start":"09:20","end":"10:39","startHours":9.333684043471264,"endHours":10.641892563122532,"quality":"inauspicious"},{"name":"Chala","start":"10:39","end":"11:57","startHours":10.641892563122532,"endHours":11.950101082773799,"quality":"neutral"},{"name":"Labha","start":"11:57","end":"13:15","startHours":11.950101082773799,"endHours":13.258309602425069,"quality":"auspicious"},{"name":"Amṛta","start":"13:15","end":"14:34","startHours":13.258309602425069,"endHours":14.566518122076335,"quality":"auspicious"},{"name":"Kāla","start":"14:34","end":"15:52","startHours":14.566518122076335,"endHours":15.874726641727603,"quality":"inauspicious"},{"name":"Śubha","start":"15:52","end":"17:11","startHours":15.874726641727603,"endHours":17.18293516137887,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:11","end":"18:52","startHours":17.18293516137887,"endHours":18.874726641727605,"quality":"auspicious"},{"name":"Kāla","start":"18:52","end":"20:34","startHours":18.874726641727605,"endHours":20.566518122076335,"quality":"inauspicious"},{"name":"Śubha","start":"20:34","end":"22:15","startHours":20.566518122076335,"endHours":22.25830960242507,"quality":"auspicious"},{"name":"Roga","start":"22:15","end":"23:57","startHours":22.25830960242507,"endHours":23.9501010827738,"quality":"inauspicious"},{"name":"Udveg","start":"23:57","end":"01:39","startHours":23.9501010827738,"endHours":25.641892563122532,"quality":"inauspicious"},{"name":"Chala","start":"01:39","end":"03:20","startHours":25.641892563122532,"endHours":27.333684043471266,"quality":"neutral"},{"name":"Labha","start":"03:20","end":"05:02","startHours":27.333684043471266,"endHours":29.025475523819996,"quality":"auspicious"},{"name":"Amṛta","start":"05:02","end":"06:43","startHours":29.025475523819996,"endHours":30.717267004168725,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:43","end":"07:43","startHours":6.717267004168727,"endHours":7.717267004168727,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:43","end":"08:43","startHours":7.717267004168727,"endHours":8.717267004168727,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:43","end":"09:43","startHours":8.717267004168727,"endHours":9.717267004168727,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:43","end":"10:43","startHours":9.717267004168727,"endHours":10.717267004168727,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:43","end":"11:43","startHours":10.717267004168727,"endHours":11.717267004168727,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:43","end":"12:43","startHours":11.717267004168727,"endHours":12.717267004168727,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:43","end":"13:43","startHours":12.717267004168727,"endHours":13.717267004168727,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:43","end":"14:43","startHours":13.717267004168727,"endHours":14.717267004168727,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:43","end":"15:43","startHours":14.717267004168727,"endHours":15.717267004168727,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:43","end":"16:43","startHours":15.717267004168727,"endHours":16.717267004168725,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:43","end":"17:43","startHours":16.717267004168725,"endHours":17.717267004168725,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:43","end":"18:43","startHours":17.717267004168725,"endHours":18.717267004168725,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:43","end":"19:43","startHours":18.717267004168725,"endHours":19.717267004168725,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:43","end":"20:43","startHours":19.717267004168725,"endHours":20.717267004168725,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:43","end":"21:43","startHours":20.717267004168725,"endHours":21.717267004168725,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:43","end":"22:43","startHours":21.717267004168725,"endHours":22.717267004168725,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:43","end":"23:43","startHours":22.717267004168725,"endHours":23.717267004168725,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:43","end":"00:43","startHours":23.717267004168725,"endHours":24.717267004168725,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:43","end":"01:43","startHours":24.717267004168725,"endHours":25.717267004168725,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:43","end":"02:43","startHours":25.717267004168725,"endHours":26.717267004168725,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:43","end":"03:43","startHours":26.717267004168725,"endHours":27.717267004168725,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:43","end":"04:43","startHours":27.717267004168725,"endHours":28.717267004168725,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:43","end":"05:43","startHours":28.717267004168725,"endHours":29.717267004168725,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:43","end":"06:43","startHours":29.717267004168725,"endHours":30.717267004168725,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.270245880986845,"eotMinutes":4.177935033572184,"ayanamsa":24.3273}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Navamī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"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":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 15, 2033 CE · Ayodhyā · Vidhyamitra","description":"December 15, 2033 CE for Ayodhyā: Kṛṣṇa Navamī, sūryodaya 06:43, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2033-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2033-12-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/2033-12-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/2033-12-15","x-default":"https://vidhyamitra.com/city/ayodhya/2033-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T15:21:27.935Z","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":"2026-05-15T15:21:27.935Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T15:21:27.935Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}