{"id":"vidhyamitra:city-day:jamnagar:2159-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/jamnagar/2159-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-15","date_display":"December 15, 2159 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":2159,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509966.770833,"kali_year":5261,"ahargana":1921501.2708,"sun":{"sidereal_longitude":235.9001,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":297.1122,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.212,"elapsed_within_tithi_degrees":1.212},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.1122,"elapsed_within_degrees":3.7788},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0123},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2159,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509966.770833,"ahargana":1921501.2708,"kali_year":5261,"ayanamsa_lahiri":26.0874,"grahas":{"sun":{"sidereal_longitude":236.68966899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":293.65846899999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":3.316},"mars":{"sidereal_longitude":308.51266899999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":241.07466899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":188.87996899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":202.28136900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":189.52616899999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":249.6158,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.6158,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509966.770833,"kali_year":5261,"ahargana":1921501.2708,"sun":{"sidereal_longitude":235.9001,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":297.1122,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.212,"elapsed_within_tithi_degrees":1.212},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.1122,"elapsed_within_degrees":3.7788},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0123},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.316,"elongation":61.212},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.316,"opposition_distance":118.788}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"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":"07:23","sunsetLocal":"18:09","solarNoonLocal":"12:46","dayLengthHours":10.768608443791438,"dayLengthDisplay":"10 Hours 46 Mins 07 Secs","nightLengthDisplay":"13 Hours 13 Mins 53 Secs","moonriseLocal":"10:56","moonsetLocal":"22:11","rahuKala":{"name":"Rāhu Kāla","start":"10:04","end":"11:25","startHours":10.067702305159271,"endHours":11.413778360633202,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:06","end":"15:27","startHours":14.105930471581061,"endHours":15.45200652705499,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:23","end":"08:43","startHours":7.375550194211412,"endHours":8.721626249685341,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:15","startHours":9.888225497762747,"endHours":10.247179112555795,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:49","end":"08:07","startHours":7.824242212702722,"endHours":8.11140510453716,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:24","end":"13:07","startHours":12.400900801314084,"endHours":13.11880803090018,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:56","end":"06:39","startHours":5.93973573503922,"endHours":6.657642964625316,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:29","end":"07:23","startHours":6.478166157228792,"endHours":7.375550194211412,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:16","startHours":14.55462249007237,"endHours":15.272529719658467,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:57","end":"18:21","startHours":17.94415863800285,"endHours":18.34415863800285,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:09","end":"18:36","startHours":18.14415863800285,"endHours":18.59285065649416,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:54","end":"19:39","startHours":17.89415863800285,"endHours":19.64415863800285,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:24","end":"01:07","startHours":24.400900801314084,"endHours":25.11880803090018,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:23","end":"08:43","startHours":7.375550194211412,"endHours":8.721626249685341,"quality":"inauspicious"},{"name":"Śubha","start":"08:43","end":"10:04","startHours":8.721626249685341,"endHours":10.067702305159271,"quality":"auspicious"},{"name":"Roga","start":"10:04","end":"11:25","startHours":10.067702305159271,"endHours":11.413778360633202,"quality":"inauspicious"},{"name":"Udveg","start":"11:25","end":"12:46","startHours":11.413778360633202,"endHours":12.759854416107132,"quality":"inauspicious"},{"name":"Chala","start":"12:46","end":"14:06","startHours":12.759854416107132,"endHours":14.105930471581061,"quality":"neutral"},{"name":"Labha","start":"14:06","end":"15:27","startHours":14.105930471581061,"endHours":15.45200652705499,"quality":"auspicious"},{"name":"Amṛta","start":"15:27","end":"16:48","startHours":15.45200652705499,"endHours":16.79808258252892,"quality":"auspicious"},{"name":"Kāla","start":"16:48","end":"18:09","startHours":16.79808258252892,"endHours":18.14415863800285,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:09","end":"19:48","startHours":18.14415863800285,"endHours":19.79808258252892,"quality":"auspicious"},{"name":"Amṛta","start":"19:48","end":"21:27","startHours":19.79808258252892,"endHours":21.45200652705499,"quality":"auspicious"},{"name":"Kāla","start":"21:27","end":"23:06","startHours":21.45200652705499,"endHours":23.10593047158106,"quality":"inauspicious"},{"name":"Śubha","start":"23:06","end":"00:46","startHours":23.10593047158106,"endHours":24.75985441610713,"quality":"auspicious"},{"name":"Roga","start":"00:46","end":"02:25","startHours":24.75985441610713,"endHours":26.413778360633202,"quality":"inauspicious"},{"name":"Udveg","start":"02:25","end":"04:04","startHours":26.413778360633202,"endHours":28.067702305159273,"quality":"inauspicious"},{"name":"Chala","start":"04:04","end":"05:43","startHours":28.067702305159273,"endHours":29.721626249685343,"quality":"neutral"},{"name":"Labha","start":"05:43","end":"07:23","startHours":29.721626249685343,"endHours":31.375550194211414,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:23","end":"08:23","startHours":7.375550194211412,"endHours":8.375550194211412,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:23","end":"09:23","startHours":8.375550194211412,"endHours":9.375550194211412,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:23","end":"10:23","startHours":9.375550194211412,"endHours":10.375550194211412,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:23","end":"11:23","startHours":10.375550194211412,"endHours":11.375550194211412,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:23","end":"12:23","startHours":11.375550194211412,"endHours":12.375550194211412,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:23","end":"13:23","startHours":12.375550194211412,"endHours":13.375550194211412,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:23","end":"14:23","startHours":13.375550194211412,"endHours":14.375550194211412,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:23","end":"15:23","startHours":14.375550194211412,"endHours":15.375550194211412,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:23","end":"16:23","startHours":15.375550194211412,"endHours":16.375550194211414,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:23","end":"17:23","startHours":16.375550194211414,"endHours":17.375550194211414,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:23","end":"18:23","startHours":17.375550194211414,"endHours":18.375550194211414,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:23","end":"19:23","startHours":18.375550194211414,"endHours":19.375550194211414,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:23","end":"20:23","startHours":19.375550194211414,"endHours":20.375550194211414,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:23","end":"21:23","startHours":20.375550194211414,"endHours":21.375550194211414,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:23","end":"22:23","startHours":21.375550194211414,"endHours":22.375550194211414,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:23","end":"23:23","startHours":22.375550194211414,"endHours":23.375550194211414,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:23","end":"00:23","startHours":23.375550194211414,"endHours":24.375550194211414,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:23","end":"01:23","startHours":24.375550194211414,"endHours":25.375550194211414,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:23","end":"02:23","startHours":25.375550194211414,"endHours":26.375550194211414,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:23","end":"03:23","startHours":26.375550194211414,"endHours":27.375550194211414,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:23","end":"04:23","startHours":27.375550194211414,"endHours":28.375550194211414,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:23","end":"05:23","startHours":28.375550194211414,"endHours":29.375550194211414,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:23","end":"06:23","startHours":29.375550194211414,"endHours":30.375550194211414,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:23","end":"07:23","startHours":30.375550194211414,"endHours":31.375550194211414,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","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":-23.23954783635176,"eotMinutes":4.177935033572184,"ayanamsa":26.0874}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 15, 2159 CE · Jamnagar, Gujarat · Vidhyamitra","description":"December 15, 2159 CE for Jamnagar, Gujarat: Śukla Ṣaṣṭhī, sūryodaya 07:23, sūryāsta 18:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/jamnagar/2159-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/jamnagar/2159-12-15","sa":"https://sa.vidhyamitra.com/city/jamnagar/2159-12-15","hi":"https://hi.vidhyamitra.com/city/jamnagar/2159-12-15","x-default":"https://vidhyamitra.com/city/jamnagar/2159-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T15:53:46.254Z","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":"2026-05-29T15:53:46.254Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T15:53:46.254Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}