{"id":"vidhyamitra:city-day:kolhapur:1915-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1915-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1915-12-13","date_display":"December 13, 1915 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":1915,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420844.770833,"kali_year":5017,"ahargana":1832379.2708,"sun":{"sidereal_longitude":237.0655,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":318.5474,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.4819,"elapsed_within_tithi_degrees":9.4819},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.5474,"elapsed_within_degrees":11.8807},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.6129},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1915,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2420844.770833,"ahargana":1832379.2708,"kali_year":5017,"ayanamsa_lahiri":22.6788,"grahas":{"sun":{"sidereal_longitude":237.26768500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":321.876485,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":2.0286},"mars":{"sidereal_longitude":126.24088499999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":236.75458500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":327.99988499999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":261.323485,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":82.85808500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":291.7282,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.7282,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1915,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420844.770833,"kali_year":5017,"ahargana":1832379.2708,"sun":{"sidereal_longitude":237.0655,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":318.5474,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.4819,"elapsed_within_tithi_degrees":9.4819},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.5474,"elapsed_within_degrees":11.8807},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.6129},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.029,"elongation":81.482},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.029,"opposition_distance":98.518}},"eclipse_window_40days":[]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:53","sunsetLocal":"18:02","solarNoonLocal":"12:28","dayLengthHours":11.14845038258645,"dayLengthDisplay":"11 Hours 08 Mins 54 Secs","nightLengthDisplay":"12 Hours 51 Mins 06 Secs","moonriseLocal":"12:11","moonsetLocal":"00:01","rahuKala":{"name":"Rāhu Kāla","start":"08:17","end":"09:41","startHours":8.284933602373112,"endHours":9.678489900196418,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:04","end":"12:28","startHours":11.072046198019724,"endHours":12.46560249584303,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:15","startHours":13.859158793666335,"endHours":15.252715091489645,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.492682393819976,"endHours":9.86429740657286,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:39","startHours":7.355896070490907,"endHours":7.653188080693212,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.09398748309015,"endHours":12.837217508595913,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:09","startHours":5.404917253538279,"endHours":6.148147279044042,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:53","startHours":5.962339772667601,"endHours":6.891377304549805,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.32367755960744,"endHours":15.066907585113203,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.839827687136257,"endHours":18.239827687136255,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.039827687136256,"endHours":18.504346453077357,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.789827687136256,"endHours":19.539827687136256,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.093987483090146,"endHours":24.837217508595913,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:53","end":"08:17","startHours":6.891377304549805,"endHours":8.284933602373112,"quality":"auspicious"},{"name":"Kāla","start":"08:17","end":"09:41","startHours":8.284933602373112,"endHours":9.678489900196418,"quality":"inauspicious"},{"name":"Śubha","start":"09:41","end":"11:04","startHours":9.678489900196418,"endHours":11.072046198019724,"quality":"auspicious"},{"name":"Roga","start":"11:04","end":"12:28","startHours":11.072046198019724,"endHours":12.46560249584303,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:52","startHours":12.46560249584303,"endHours":13.859158793666335,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:15","startHours":13.859158793666335,"endHours":15.252715091489645,"quality":"neutral"},{"name":"Labha","start":"15:15","end":"16:39","startHours":15.252715091489645,"endHours":16.64627138931295,"quality":"auspicious"},{"name":"Amṛta","start":"16:39","end":"18:02","startHours":16.64627138931295,"endHours":18.039827687136256,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:02","end":"19:39","startHours":18.039827687136256,"endHours":19.64627138931295,"quality":"neutral"},{"name":"Labha","start":"19:39","end":"21:15","startHours":19.64627138931295,"endHours":21.252715091489645,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:52","startHours":21.252715091489645,"endHours":22.85915879366634,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:28","startHours":22.85915879366634,"endHours":24.46560249584303,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.072046198019727,"quality":"auspicious"},{"name":"Roga","start":"02:04","end":"03:41","startHours":26.072046198019727,"endHours":27.678489900196418,"quality":"inauspicious"},{"name":"Udveg","start":"03:41","end":"05:17","startHours":27.678489900196418,"endHours":29.284933602373112,"quality":"inauspicious"},{"name":"Chala","start":"05:17","end":"06:53","startHours":29.284933602373112,"endHours":30.891377304549806,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:53","end":"07:53","startHours":6.891377304549805,"endHours":7.891377304549805,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:53","end":"08:53","startHours":7.891377304549805,"endHours":8.891377304549806,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:53","end":"09:53","startHours":8.891377304549806,"endHours":9.891377304549806,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:53","end":"10:53","startHours":9.891377304549806,"endHours":10.891377304549806,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:53","end":"11:53","startHours":10.891377304549806,"endHours":11.891377304549806,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:53","end":"12:53","startHours":11.891377304549806,"endHours":12.891377304549806,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:53","end":"13:53","startHours":12.891377304549806,"endHours":13.891377304549806,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:53","end":"14:53","startHours":13.891377304549806,"endHours":14.891377304549806,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:53","end":"15:53","startHours":14.891377304549806,"endHours":15.891377304549806,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:53","end":"16:53","startHours":15.891377304549806,"endHours":16.891377304549806,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:53","end":"17:53","startHours":16.891377304549806,"endHours":17.891377304549806,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:53","end":"18:53","startHours":17.891377304549806,"endHours":18.891377304549806,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:53","end":"19:53","startHours":18.891377304549806,"endHours":19.891377304549806,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:53","end":"20:53","startHours":19.891377304549806,"endHours":20.891377304549806,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:53","end":"21:53","startHours":20.891377304549806,"endHours":21.891377304549806,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:53","end":"22:53","startHours":21.891377304549806,"endHours":22.891377304549806,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:53","end":"23:53","startHours":22.891377304549806,"endHours":23.891377304549806,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:53","end":"00:53","startHours":23.891377304549806,"endHours":24.891377304549806,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:53","end":"01:53","startHours":24.891377304549806,"endHours":25.891377304549806,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:53","end":"02:53","startHours":25.891377304549806,"endHours":26.891377304549806,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:53","end":"03:53","startHours":26.891377304549806,"endHours":27.891377304549806,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:53","end":"04:53","startHours":27.891377304549806,"endHours":28.891377304549806,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:53","end":"05:53","startHours":28.891377304549806,"endHours":29.891377304549806,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:53","end":"06:53","startHours":29.891377304549806,"endHours":30.891377304549806,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","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":-23.055670199285007,"eotMinutes":5.090650249418121,"ayanamsa":22.6788}},"calendars":{"vikram_samvat":1972,"vikram_samvatsara":"Vibhava","saka_samvat":1837,"saka_samvatsara":"Rākṣasa","bengali_samvat":1322,"malayalam_era":1091,"nanakshahi_year":446,"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 Saptamī · Vikram 1972 Vibhava · Śaka 1837 Rākṣasa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"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, 1915 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 1915 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:53, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1915-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1915-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/1915-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/1915-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/1915-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:21:57.035Z","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":"2026-06-01T08:21:57.035Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:21:57.035Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}