{"id":"vidhyamitra:day:2025-07-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2025-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2025-07-13","date_display":"July 13, 2025 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":2025,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460869.770833,"kali_year":5127,"ahargana":1872404.2708,"sun":{"sidereal_longitude":86.2393,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":292.6751,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.4359,"elapsed_within_tithi_degrees":2.4359},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.6751,"elapsed_within_degrees":12.6751},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.9144},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2025,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460869.770833,"ahargana":1872404.2708,"kali_year":5127,"ayanamsa_lahiri":24.2096,"grahas":{"sun":{"sidereal_longitude":86.71543600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":293.024936,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":-2.7895},"mars":{"sidereal_longitude":140.23073599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":110.05383599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":73.25053600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":44.736436000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":337.797436,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":331.0111,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":151.0111,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2025,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460869.770833,"kali_year":5127,"ahargana":1872404.2708,"sun":{"sidereal_longitude":86.2393,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":292.6751,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":206.4359,"elapsed_within_tithi_degrees":2.4359},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":292.6751,"elapsed_within_degrees":12.6751},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.9144},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.789,"elongation":153.564},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.789,"opposition_distance":26.436}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2082,"vikram_samvatsara":"Kālayukta","saka_samvat":1947,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1432,"malayalam_era":1201,"nanakshahi_year":556,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Tṛtīyā · Vikram 2082 Kālayukta · Śaka 1947 Viśvāvasu"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2025-07-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga July 13, 2025 CE · Vidhyamitra","description":"Vedic pañchāṅga for July 13, 2025 CE: Kṛṣṇa Tṛtīyā · Śravaṇa.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2025-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2025-07-13","sa":"https://sa.vidhyamitra.com/day/2025-07-13","hi":"https://hi.vidhyamitra.com/day/2025-07-13","x-default":"https://vidhyamitra.com/day/2025-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T07:21:56.730Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T07:21:56.730Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}