{"id":"vidhyamitra:city-day:kolhapur:2165-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2165-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-04-29","date_display":"April 29, 2165 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":2165,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511928.770833,"kali_year":5267,"ahargana":1923463.2708,"sun":{"sidereal_longitude":12.6423,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":224.5195,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.8772,"elapsed_within_tithi_degrees":7.8772},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.5195,"elapsed_within_degrees":11.1862},"yoga":{"number":18,"name":"Varīyān","sum_longitude":237.1618},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":2165,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511928.770833,"ahargana":1923463.2708,"kali_year":5267,"ayanamsa_lahiri":26.1625,"grahas":{"sun":{"sidereal_longitude":12.947705999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":224.43260599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":4.415},"mars":{"sidereal_longitude":321.55900599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":7.650506000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":349.876306,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":29.97310600000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":250.32070599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":145.6596,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":325.6596,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511928.770833,"kali_year":5267,"ahargana":1923463.2708,"sun":{"sidereal_longitude":12.6423,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":224.5195,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.8772,"elapsed_within_tithi_degrees":7.8772},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.5195,"elapsed_within_degrees":11.1862},"yoga":{"number":18,"name":"Varīyān","sum_longitude":237.1618},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.415,"elongation":148.123},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.415,"opposition_distance":31.877}},"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":"06:09","sunsetLocal":"18:52","solarNoonLocal":"12:30","dayLengthHours":12.715057714044466,"dayLengthDisplay":"12 Hours 42 Mins 54 Secs","nightLengthDisplay":"11 Hours 17 Mins 06 Secs","moonriseLocal":"21:02","moonsetLocal":"08:11","rahuKala":{"name":"Rāhu Kāla","start":"07:44","end":"09:20","startHours":7.7382409628321405,"endHours":9.327623177087698,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:55","end":"12:30","startHours":10.917005391343258,"endHours":12.506387605598816,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:06","end":"15:41","startHours":14.095769819854373,"endHours":15.685152034109933,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:32","startHours":9.11570554852029,"endHours":9.539540805655108,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.6786528199951025,"endHours":7.017721025702955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:56","startHours":12.082552348464,"endHours":12.93022286273363,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:27","end":"05:18","startHours":4.45351772003732,"endHours":5.301188234306951,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:09","startHours":5.089270605739544,"endHours":6.148858748576583,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:28","startHours":14.625563891272893,"endHours":15.473234405542524,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.66391646262105,"endHours":19.063916462621048,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:24","startHours":18.86391646262105,"endHours":19.393710534039567,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.61391646262105,"endHours":20.36391646262105,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:56","startHours":24.082552348464002,"endHours":24.930222862733633,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:09","end":"07:44","startHours":6.148858748576583,"endHours":7.7382409628321405,"quality":"auspicious"},{"name":"Kāla","start":"07:44","end":"09:20","startHours":7.7382409628321405,"endHours":9.327623177087698,"quality":"inauspicious"},{"name":"Śubha","start":"09:20","end":"10:55","startHours":9.327623177087698,"endHours":10.917005391343258,"quality":"auspicious"},{"name":"Roga","start":"10:55","end":"12:30","startHours":10.917005391343258,"endHours":12.506387605598816,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"14:06","startHours":12.506387605598816,"endHours":14.095769819854373,"quality":"inauspicious"},{"name":"Chala","start":"14:06","end":"15:41","startHours":14.095769819854373,"endHours":15.685152034109933,"quality":"neutral"},{"name":"Labha","start":"15:41","end":"17:16","startHours":15.685152034109933,"endHours":17.27453424836549,"quality":"auspicious"},{"name":"Amṛta","start":"17:16","end":"18:52","startHours":17.27453424836549,"endHours":18.86391646262105,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:52","end":"20:16","startHours":18.86391646262105,"endHours":20.27453424836549,"quality":"neutral"},{"name":"Labha","start":"20:16","end":"21:41","startHours":20.27453424836549,"endHours":21.685152034109933,"quality":"auspicious"},{"name":"Amṛta","start":"21:41","end":"23:06","startHours":21.685152034109933,"endHours":23.095769819854375,"quality":"auspicious"},{"name":"Kāla","start":"23:06","end":"00:30","startHours":23.095769819854375,"endHours":24.506387605598817,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"01:55","startHours":24.506387605598817,"endHours":25.91700539134326,"quality":"auspicious"},{"name":"Roga","start":"01:55","end":"03:20","startHours":25.91700539134326,"endHours":27.3276231770877,"quality":"inauspicious"},{"name":"Udveg","start":"03:20","end":"04:44","startHours":27.3276231770877,"endHours":28.73824096283214,"quality":"inauspicious"},{"name":"Chala","start":"04:44","end":"06:09","startHours":28.73824096283214,"endHours":30.148858748576583,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.148858748576583,"endHours":7.148858748576583,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.148858748576583,"endHours":8.148858748576583,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.148858748576583,"endHours":9.148858748576583,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.148858748576583,"endHours":10.148858748576583,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.148858748576583,"endHours":11.148858748576583,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.148858748576583,"endHours":12.148858748576583,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.148858748576583,"endHours":13.148858748576583,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.148858748576583,"endHours":14.148858748576583,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.148858748576583,"endHours":15.148858748576583,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.148858748576583,"endHours":16.148858748576583,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.148858748576583,"endHours":17.148858748576583,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.148858748576583,"endHours":18.148858748576583,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.148858748576583,"endHours":19.148858748576583,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.148858748576583,"endHours":20.148858748576583,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.148858748576583,"endHours":21.148858748576583,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.148858748576583,"endHours":22.148858748576583,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.148858748576583,"endHours":23.148858748576583,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.148858748576583,"endHours":24.148858748576583,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.148858748576583,"endHours":25.148858748576583,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.148858748576583,"endHours":26.148858748576583,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.148858748576583,"endHours":27.148858748576583,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.148858748576583,"endHours":28.148858748576583,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.148858748576583,"endHours":29.148858748576583,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.148858748576583,"endHours":30.148858748576583,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.530492887191,"eotMinutes":2.643543664071059,"ayanamsa":26.1625}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Tṛtīyā · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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 April 29, 2165 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"April 29, 2165 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 06:09, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2165-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2165-04-29","sa":"https://sa.vidhyamitra.com/city/kolhapur/2165-04-29","hi":"https://hi.vidhyamitra.com/city/kolhapur/2165-04-29","x-default":"https://vidhyamitra.com/city/kolhapur/2165-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:24:38.888Z","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":"2026-05-31T17:24:38.888Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:24:38.888Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}