{"id":"vidhyamitra:city-day:jamnagar:2170-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/jamnagar/2170-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2170-12-13","date_display":"December 13, 2170 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":2170,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513982.770833,"kali_year":5272,"ahargana":1925517.2708,"sun":{"sidereal_longitude":234.0079,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":298.6748,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.6669,"elapsed_within_tithi_degrees":4.6669},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.6748,"elapsed_within_degrees":5.3415},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.6827},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2170,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513982.770833,"ahargana":1925517.2708,"kali_year":5272,"ayanamsa_lahiri":26.241,"grahas":{"sun":{"sidereal_longitude":234.83922800000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":299.63582799999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-4.4544},"mars":{"sidereal_longitude":263.022328,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":214.213028,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":166.627928,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":186.95202800000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":303.1534280000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":36.8288,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":216.8288,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2170,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513982.770833,"kali_year":5272,"ahargana":1925517.2708,"sun":{"sidereal_longitude":234.0079,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":298.6748,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.6669,"elapsed_within_tithi_degrees":4.6669},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.6748,"elapsed_within_degrees":5.3415},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":172.6827},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.454,"elongation":64.667},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.454,"opposition_distance":115.333}},"eclipse_window_40days":[]},"city":{"slug":"jamnagar","name":"Jamnagar, Gujarat","lat":22.4707,"lon":70.0577,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"jamnagar","name":"Jamnagar, Gujarat","lat":22.4707,"lon":70.0577,"tz_offset_hours":5.5,"state":"Gujarat","country":"IN","tier":"tier-1"},"sunriseLocal":"07:21","sunsetLocal":"18:08","solarNoonLocal":"12:45","dayLengthHours":10.775322176134836,"dayLengthDisplay":"10 Hours 46 Mins 31 Secs","nightLengthDisplay":"13 Hours 13 Mins 29 Secs","moonriseLocal":"11:23","moonsetLocal":"22:45","rahuKala":{"name":"Rāhu Kāla","start":"14:05","end":"15:26","startHours":14.091557767859886,"endHours":15.43847303987674,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:21","end":"08:42","startHours":7.356981407775614,"endHours":8.703896679792468,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:03","end":"11:24","startHours":10.050811951809322,"endHours":11.397727223826177,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:52","end":"10:14","startHours":9.871223248873743,"endHours":10.230400654744905,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:48","end":"08:06","startHours":7.805953165114566,"endHours":8.093295089811495,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:23","end":"13:06","startHours":12.38546508997187,"endHours":13.103819901714193,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:55","end":"06:38","startHours":5.92027178429097,"endHours":6.638626596033292,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:28","end":"07:21","startHours":6.459037893097712,"endHours":7.356981407775614,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:16","startHours":14.540529525198838,"endHours":15.258884336941161,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.93230358391045,"endHours":18.33230358391045,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:35","startHours":18.13230358391045,"endHours":18.581275341249402,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.88230358391045,"endHours":19.63230358391045,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:23","end":"01:06","startHours":24.38546508997187,"endHours":25.103819901714193,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:21","end":"08:42","startHours":7.356981407775614,"endHours":8.703896679792468,"quality":"auspicious"},{"name":"Roga","start":"08:42","end":"10:03","startHours":8.703896679792468,"endHours":10.050811951809322,"quality":"inauspicious"},{"name":"Udveg","start":"10:03","end":"11:24","startHours":10.050811951809322,"endHours":11.397727223826177,"quality":"inauspicious"},{"name":"Chala","start":"11:24","end":"12:45","startHours":11.397727223826177,"endHours":12.744642495843031,"quality":"neutral"},{"name":"Labha","start":"12:45","end":"14:05","startHours":12.744642495843031,"endHours":14.091557767859886,"quality":"auspicious"},{"name":"Amṛta","start":"14:05","end":"15:26","startHours":14.091557767859886,"endHours":15.43847303987674,"quality":"auspicious"},{"name":"Kāla","start":"15:26","end":"16:47","startHours":15.43847303987674,"endHours":16.785388311893595,"quality":"inauspicious"},{"name":"Śubha","start":"16:47","end":"18:08","startHours":16.785388311893595,"endHours":18.13230358391045,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:08","end":"19:47","startHours":18.13230358391045,"endHours":19.785388311893595,"quality":"auspicious"},{"name":"Kāla","start":"19:47","end":"21:26","startHours":19.785388311893595,"endHours":21.43847303987674,"quality":"inauspicious"},{"name":"Śubha","start":"21:26","end":"23:05","startHours":21.43847303987674,"endHours":23.091557767859886,"quality":"auspicious"},{"name":"Roga","start":"23:05","end":"00:45","startHours":23.091557767859886,"endHours":24.74464249584303,"quality":"inauspicious"},{"name":"Udveg","start":"00:45","end":"02:24","startHours":24.74464249584303,"endHours":26.397727223826177,"quality":"inauspicious"},{"name":"Chala","start":"02:24","end":"04:03","startHours":26.397727223826177,"endHours":28.050811951809322,"quality":"neutral"},{"name":"Labha","start":"04:03","end":"05:42","startHours":28.050811951809322,"endHours":29.703896679792468,"quality":"auspicious"},{"name":"Amṛta","start":"05:42","end":"07:21","startHours":29.703896679792468,"endHours":31.356981407775613,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:21","end":"08:21","startHours":7.356981407775614,"endHours":8.356981407775613,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:21","end":"09:21","startHours":8.356981407775613,"endHours":9.356981407775613,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:21","end":"10:21","startHours":9.356981407775613,"endHours":10.356981407775613,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:21","end":"11:21","startHours":10.356981407775613,"endHours":11.356981407775613,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:21","end":"12:21","startHours":11.356981407775613,"endHours":12.356981407775613,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:21","end":"13:21","startHours":12.356981407775613,"endHours":13.356981407775613,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:21","end":"14:21","startHours":13.356981407775613,"endHours":14.356981407775613,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:21","end":"15:21","startHours":14.356981407775613,"endHours":15.356981407775613,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:21","end":"16:21","startHours":15.356981407775613,"endHours":16.356981407775613,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:21","end":"17:21","startHours":16.356981407775613,"endHours":17.356981407775613,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:21","end":"18:21","startHours":17.356981407775613,"endHours":18.356981407775613,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:21","end":"19:21","startHours":18.356981407775613,"endHours":19.356981407775613,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:21","end":"20:21","startHours":19.356981407775613,"endHours":20.356981407775613,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:21","end":"21:21","startHours":20.356981407775613,"endHours":21.356981407775613,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:21","end":"22:21","startHours":21.356981407775613,"endHours":22.356981407775613,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:21","end":"23:21","startHours":22.356981407775613,"endHours":23.356981407775613,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:21","end":"00:21","startHours":23.356981407775613,"endHours":24.356981407775613,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:21","end":"01:21","startHours":24.356981407775613,"endHours":25.356981407775613,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:21","end":"02:21","startHours":25.356981407775613,"endHours":26.356981407775613,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:21","end":"03:21","startHours":26.356981407775613,"endHours":27.356981407775613,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:21","end":"04:21","startHours":27.356981407775613,"endHours":28.356981407775613,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:21","end":"05:21","startHours":28.356981407775613,"endHours":29.356981407775613,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:21","end":"06:21","startHours":29.356981407775613,"endHours":30.356981407775613,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:21","end":"07:21","startHours":30.356981407775613,"endHours":31.356981407775613,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.13646550819193,"eotMinutes":5.090650249418121,"ayanamsa":26.241}},"calendars":{"vikram_samvat":2227,"vikram_samvatsara":"Subhānu","saka_samvat":2092,"saka_samvatsara":"Pramoda","bengali_samvat":1577,"malayalam_era":1346,"nanakshahi_year":701,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2227 Subhānu · Śaka 2092 Pramoda"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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":"jamnagar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2170 CE · Jamnagar, Gujarat · Vidhyamitra","description":"December 13, 2170 CE for Jamnagar, Gujarat: Śukla Ṣaṣṭhī, sūryodaya 07:21, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/jamnagar/2170-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/jamnagar/2170-12-13","sa":"https://sa.vidhyamitra.com/city/jamnagar/2170-12-13","hi":"https://hi.vidhyamitra.com/city/jamnagar/2170-12-13","x-default":"https://vidhyamitra.com/city/jamnagar/2170-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:13:53.791Z","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":"2026-05-31T16:13:53.792Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:13:53.792Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}