{"id":"vidhyamitra:day:2165-07-05:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2165-07-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-07-05","date_display":"July 5, 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":7,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511995.770833,"kali_year":5267,"ahargana":1923530.2708,"sun":{"sidereal_longitude":76.5593,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":37.0934,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.534,"elapsed_within_tithi_degrees":8.534},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.0934,"elapsed_within_degrees":10.4267},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.6527},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":7,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511995.770833,"ahargana":1923530.2708,"kali_year":5267,"ayanamsa_lahiri":26.165,"grahas":{"sun":{"sidereal_longitude":77.302546,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":37.894946000000004,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":-4.346},"mars":{"sidereal_longitude":11.643746000000021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":62.43134599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":3.072846000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":110.687546,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":246.484646,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":142.1096,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":322.1096,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":7,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511995.770833,"kali_year":5267,"ahargana":1923530.2708,"sun":{"sidereal_longitude":76.5593,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":37.0934,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":320.534,"elapsed_within_tithi_degrees":8.534},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.0934,"elapsed_within_degrees":10.4267},"yoga":{"number":9,"name":"Śūla","sum_longitude":113.6527},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.346,"elongation":39.466},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.346,"opposition_distance":140.534}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Dvādaśī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2165-07-05T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 5, 2165 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 5, 2165 CE: Kṛṣṇa Dvādaśī · Kṛttikā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2165-07-05","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2165-07-05","sa":"https://sa.vidhyamitra.com/day/2165-07-05","hi":"https://hi.vidhyamitra.com/day/2165-07-05","x-default":"https://vidhyamitra.com/day/2165-07-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T14:37:06.365Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-20T14:37:06.365Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}