{"id":"vidhyamitra:city-day:kolhapur:2167-12-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2167-12-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-12-29","date_display":"December 29, 2167 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":2167,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512902.770833,"kali_year":5269,"ahargana":1924437.2708,"sun":{"sidereal_longitude":250.2022,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":107.1499,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.9477,"elapsed_within_tithi_degrees":0.9477},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.1499,"elapsed_within_degrees":0.4833},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.3521},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2167,"month":12,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512902.770833,"ahargana":1924437.2708,"kali_year":5269,"ayanamsa_lahiri":26.1997,"grahas":{"sun":{"sidereal_longitude":250.88569199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":109.54609199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":1.0188},"mars":{"sidereal_longitude":116.77739199999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":261.40329199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":72.76629200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":219.99969199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":272.631392,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":94.0524,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.0524,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"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":2167,"month":12,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512902.770833,"kali_year":5269,"ahargana":1924437.2708,"sun":{"sidereal_longitude":250.2022,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":107.1499,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.9477,"elapsed_within_tithi_degrees":0.9477},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.1499,"elapsed_within_degrees":0.4833},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.3521},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.019,"elongation":143.052},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.019,"opposition_distance":36.948}},"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":"07:01","sunsetLocal":"18:10","solarNoonLocal":"12:35","dayLengthHours":11.13952039810005,"dayLengthDisplay":"11 Hours 08 Mins 22 Secs","nightLengthDisplay":"12 Hours 51 Mins 38 Secs","moonriseLocal":"20:48","moonsetLocal":"09:32","rahuKala":{"name":"Rāhu Kāla","start":"15:22","end":"16:46","startHours":15.374439706934506,"endHours":16.766879756697012,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:12","startHours":9.804679507884481,"endHours":11.197119557646989,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:35","end":"13:59","startHours":12.589559607409495,"endHours":13.981999657172,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:59","startHours":9.619020834582814,"endHours":9.990338181186148,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:47","startHours":7.483946091613637,"endHours":7.780999968896305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"12:58","startHours":12.218242260806157,"endHours":12.960876954012829,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:17","startHours":5.534530021946129,"endHours":6.277164715152799,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"07:01","startHours":6.091506041851131,"endHours":7.019799408359469,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:11","startHours":14.446146340426168,"endHours":15.188781033632837,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:58","end":"18:22","startHours":17.95931980645952,"endHours":18.359319806459517,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:10","end":"18:37","startHours":18.159319806459518,"endHours":18.623466489713685,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:55","end":"19:40","startHours":17.909319806459518,"endHours":19.659319806459518,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"00:58","startHours":24.218242260806157,"endHours":24.960876954012825,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:01","end":"08:25","startHours":7.019799408359469,"endHours":8.412239458121975,"quality":"inauspicious"},{"name":"Udveg","start":"08:25","end":"09:48","startHours":8.412239458121975,"endHours":9.804679507884481,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:12","startHours":9.804679507884481,"endHours":11.197119557646989,"quality":"neutral"},{"name":"Labha","start":"11:12","end":"12:35","startHours":11.197119557646989,"endHours":12.589559607409495,"quality":"auspicious"},{"name":"Amṛta","start":"12:35","end":"13:59","startHours":12.589559607409495,"endHours":13.981999657172,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:22","startHours":13.981999657172,"endHours":15.374439706934506,"quality":"inauspicious"},{"name":"Śubha","start":"15:22","end":"16:46","startHours":15.374439706934506,"endHours":16.766879756697012,"quality":"auspicious"},{"name":"Roga","start":"16:46","end":"18:10","startHours":16.766879756697012,"endHours":18.159319806459518,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:10","end":"19:46","startHours":18.159319806459518,"endHours":19.766879756697012,"quality":"inauspicious"},{"name":"Śubha","start":"19:46","end":"21:22","startHours":19.766879756697012,"endHours":21.374439706934506,"quality":"auspicious"},{"name":"Roga","start":"21:22","end":"22:59","startHours":21.374439706934506,"endHours":22.981999657171997,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:35","startHours":22.981999657171997,"endHours":24.58955960740949,"quality":"inauspicious"},{"name":"Chala","start":"00:35","end":"02:12","startHours":24.58955960740949,"endHours":26.197119557646985,"quality":"neutral"},{"name":"Labha","start":"02:12","end":"03:48","startHours":26.197119557646985,"endHours":27.80467950788448,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:25","startHours":27.80467950788448,"endHours":29.412239458121974,"quality":"auspicious"},{"name":"Kāla","start":"05:25","end":"07:01","startHours":29.412239458121974,"endHours":31.019799408359468,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.019799408359469,"endHours":8.019799408359468,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.019799408359468,"endHours":9.019799408359468,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.019799408359468,"endHours":10.019799408359468,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.019799408359468,"endHours":11.019799408359468,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.019799408359468,"endHours":12.019799408359468,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.019799408359468,"endHours":13.019799408359468,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.019799408359468,"endHours":14.019799408359468,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.019799408359468,"endHours":15.019799408359468,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.019799408359468,"endHours":16.019799408359468,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.019799408359468,"endHours":17.019799408359468,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.019799408359468,"endHours":18.019799408359468,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.019799408359468,"endHours":19.019799408359468,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.019799408359468,"endHours":20.019799408359468,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.019799408359468,"endHours":21.019799408359468,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.019799408359468,"endHours":22.019799408359468,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.019799408359468,"endHours":23.019799408359468,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.019799408359468,"endHours":24.019799408359468,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.019799408359468,"endHours":25.019799408359468,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.019799408359468,"endHours":26.019799408359468,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.019799408359468,"endHours":27.019799408359468,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.019799408359468,"endHours":28.019799408359468,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.019799408359468,"endHours":29.019799408359468,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.019799408359468,"endHours":30.019799408359468,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.019799408359468,"endHours":31.019799408359468,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.24696239002555,"eotMinutes":-2.3467764445695645,"ayanamsa":26.1997}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 29, 2167 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 29, 2167 CE for Kolhāpur, Maharashtra: Kṛṣṇa Caturthī, sūryodaya 07:01, sūryāsta 18:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2167-12-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2167-12-29","sa":"https://sa.vidhyamitra.com/city/kolhapur/2167-12-29","hi":"https://hi.vidhyamitra.com/city/kolhapur/2167-12-29","x-default":"https://vidhyamitra.com/city/kolhapur/2167-12-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:53:26.431Z","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":"2026-05-31T23:53:26.431Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:53:26.431Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}